I am not a native English speaker, but I'll try my best, to avoid spelling and grammar errors. If you find any mistakes, or have the feeling, I could rewrite a sentence, so it can be read more fluently, leave me a comment.
Of course I don't own anything about Star Wars, it's just my imagination running wild.

We will start the story right after Rey fought in the woods with Kylo Ren and is making her way to Luke Skywalker, after R2D2 revealed the missing part of the map. But in this version, she starts the mission alone without Chewbacca.

Rey placed her feet on the control panel and yawned. She didn't wear any shoes and wiggled her toes while stretching. Her body yearned for some kind of movement.
She already flew across the galaxy for about – she looked at the clock on the top left corner - „Twelve hours? … Uuugh." She sighed.
I gotta do something, just sitting around drives me nuts!

So she jumped up, and walked around the spaceship. It was a pretty small one, not much bigger than an X-Fighter, also not as fast or as well equipped with weapons,
as the other spaceships from the resistance. But this one was for long-range travelling not for fighting.
She felt her feet getting cold on the metal floor. So she went to her bag, rummaging through her things, searching for her shoes. Whilst putting some portions aside,
she brushed her fingertips against a metallic thing, which she slowly pulled out of her bag.

Lukes lightsaber.

She will hand it to him, once she reaches Ahch-To. Will he accept it? How will he react to her? Does he even know about Han's death? Shall she explain him first, how she obtained his saber? Will he train her at all? She turned the saber around in her hands, fingers wandering alongside the smooth metallic structure of the hilt. Her guts started to tingle while thinking about these questions and his possible reactions. She wouldn't say she's scared, but she is nervous as fuck. She carefully put the saber back and pulled out her shoes. Sitting on the floor, she slowly put them on, still thinking about how the situation on Ahch-To will play out.

After being done, the controls started beeping rapidly, then she felt a strong jolt going through the ship. Being able to see the stars coming to a halt outside, she knew the ship jumped out of hyperspace. She immediately leapt up, rushing to the control panel, looking at the radar, she spotted two other spaceships following right behind her, approaching at a really fast pace. At first she thought them being first order ships, but she couldn't make out any emblems on them, so whilst throwing herself into the pilot seat, she radioed the two ships to back off. They didn't answer. She sent the signal again. No answer.

They still approached and placed themselves on both sides of her spaceship. Alarmed she grabbed the control column with one hand, the joystick for the firing weapon in the other hand. Sweat was collecting on her forehead as she focused on the two ships, whilst searching the radar for nearby planets, or at least meteorite fields, where she could try to lose them. But there weren't any nearby.
„Shit" she said out loud, she has to fight them with finesse.
This ship is not fitted to fight, or even outrun two other spaceships, it's merely used for transportation.
Just as she wanted to take action, the spaceship to her right blasted its laser cannon in her direction. Luckily she saw the movement of the canon beforehand and was able to avoid it. The right ship also started shooting. It felt like a wild ride, her spaceship moving up and down, taking turns, doing loopings, trying to surprise the other pilots by flying over their head. But the attackers were a well-practised team and it didn't feel like they did this attack the first time. Her ship already took some pretty hard blows,
but she kept fighting. Feeling nausea coming up, from flying so jolty, she couldn't afford to not be concentrated. She tried to focus her mind on the other ships, trying to feel their presence through the force, whilst shooting.

BOOM!

With a big explosion, one of the spaceships was torn apart, leaving small parts everywhere.
„Yes! Shit. Fuck yes!" she screamed, having a happy moment for about one-tenth of a second, then realizing there's still the other ship. Whilst focusing again, she heard another loud bang but this time it sounded very much as it was her own ship taking a hit right now. The control panel started blinking and beeping rapidly again, one screen showing her shield just switched off.
After some seconds of colourful blinking and screeching of the electronics, everything went dark and silent. The whole ship just turned its power off. She couldn't do anything anymore.

Shit. That's really bad. Like really – I'm gonna die – badish like. Or so she thought.

That's when she heard a loud thud. Then another one. Seems like the other ship docked onto her and started pulling. As everything in the ship was dark, due to the lack of control lights and monitors, she panicky started to rip open the metal walls, trying to find out how to start the engines again. After rummaging through a lot of cables and switches she saw something in her left eye vision outside of the window of her ship. It was a planet in the far distance. The ship, which abducted her seems to be flying in this direction. At least she thought so because the planet seems to be getting bigger pretty fast. She stopped from what she's done before and climbed over the pilot seat, to have a better view of the planet. Laying her hand flat on the glass of the windshield and nearly pressing her whole face against it, she examined it. It was shining brightly in an orange colour. It kind of looked like her home planet Jakku. But she knew it couldn't be because she was in an entirely other part of the universe right now. But it must be another desert planet, judging from its colour. The planet's getting bigger and bigger, they will definitely land there. She quickly went to her bag, putting it around her torso and again started fumbling with the cables in the walls, in a hopeless attempt to get the ship running again.
When they entered the atmosphere, the ship started to bounce around. Rey had to clamp herself tightly to the pilot chair, to not getting catapulted through the entire inner space.

Through the windows, she could make out a lot of dunes and cliffs, while still flying lower and lower.

'Thud' ….. 'Thud'

She heard the mechanics which were bounding her ship to the other one, go off. For a moment she thought about being free again, but this thought vanished the moment her vessel turned downwards and straightly fell down nearing the ground at an alarming rate. She clung herself to the pilot's seat, trying to get in there buckling up fast, whilst praying to whoever was watching her right now. „Oh maker! Help me!" She cried out loud, closing her eyes, moments before the ship crashed on the ground.

Everything is dark.