What if Luke was the one who stopped Lorelai from getting married with Max [121 till 204]? A story dedicated to my first OTP. It's a bit different from the original line bc I add a day between the moment Rachel leaves Luke and the moment Luke goes to Lorelai's to pick up Berth.
[Please note that English isn't my maternal language so I'm sorry if there are too many faults – I do not own Gilmore Girls, its story or the characters].

When Lorelai entered the diner alone that morning, Luke thought she was coming to get breakfast – and of course a cup of coffee – as usually and that Rory will arrive to eat with her. She sat at a table near the window and looked outside. Luke stayed behind the counter, surprised that she didn't even say hi to him. He could say by what he saw in her eyes that she was a bit preoccupied. As he decided to go pick up news, Rory entered the diner, but she wasn't alone. A tall man, black hair, dark eyes, well dressed was with her and sat with them at the table. Luke had seen him before. He was with her at the town meeting the night before. He had heard whispers in the town but knowing Lorelai he wasn't sure what to trust. Babette and Patty did mention that she was seeing someone for quite a while and that it was getting serious between them. Until last night, he didn't care much but the fact that the man was coming to his diner made him wonder if what Babette and Patty was saying wasn't true after all… He knew Lorelai was a coveted woman – how could he not know that? – but he also knew that she had… how could he qualify that? Issues maybe? Whatever… Let's say she wasn't the kind of woman who will committed herself to a man who she wasn't sure of. What if it was different this time?

He stared at them a little. The man was looking the menu while Lorelai and Rory were talking. He had a little smile painted on his face, maybe because of what Rory and Lorelai were chatting about. But it wasn't what was bothering Luke: he noticed almost immediately that his hand was resting on Lorelai's thigh under the table. She had her own hand on his and like every time he saw her with a guy, he had that look, caught between sadness and anger. He always had these strong feelings for her but never had the courage to tell her. He was too afraid of the consequences, too afraid she told him she didn't feel the same and thereby too afraid of losing her. They had a moment once tough… When she helped him out redecorate the diner a year ago. And then Christopher came by and he understood quickly that the man made what was going on – or what he thought was going on – fading away…

His train of thoughts made him think of Rachel again. When she left him the night before, she advised him to tell Lorelai the truth. When the door of the diner closed on her, he was determined to go to Lorelai's place and have the conversation with her. Then he pictured things in his mind and like always, cave in completely. And now that he was seeing her with that guy he felt a strong jealousy. If you continue this way, she'll make her life with someone who will never be you. He left the counter to pick their order and when he approached their table, he couldn't help but being ice-cold, distant, not talkative. He was once again hurt, even if he knew it was partly his fault. But she never made it clear neither…

— What can I get you? he asked.
— Well hello to you too, said Lorelai surprised by his cold voice.
The guy smiled at her before looking at Luke with interest. Luke could say by his face that the guy had hear about him; there was interest in his eyes. And it came back to him… He was the man he saw Lorelai with that night, when he was serving coffee to the freezing reenactors. The one who kissed her under the snow. His jealousy grew wider…
— I'll have pancakes, said Rory without specifying that she'll also have coffee. It wasn't necessary to say that after all these years…
— And you? asked Luke without looking at them.
— Eggs with bacon and toast, said Lorelai.
— Both of you?
— Both of us, responded Lorelai, frowning.
Luke got back to the counter. He knew his attitude wasn't the best to keep his feelings covered but he couldn't act different. He was tired of being hurt and seeing Lorelai with this guy was just a reminder of his cowardliness. And in a certain way, of hers… Because there was no way she hadn't felt it too, the rare moments they had, and she never did something to guide him…
— Hey, what's the matter?
He was so much lost in his thoughts that he didn't notice she was standing on the other side of the counter. This was another proof that she cared after all. Like the guy, who was watching them…. On second thought, how could she take the risk of anything, how could she even be thinking about anything while they were both in a relationship? Well… He wasn't anymore, and she didn't know yet. So, he decided to be half-sincere.
— I'm sorry, I'm a bit troubled because… Rachel left… last night.
— What? Luke I'm so sorry… Lorelai appeared to be truly confused.
— Yeah, she had her reasons…
He paused and thought fast. Lorelai was looking at him with a certain concern and that's what decided him.
— And I was wondering if… maybe… we could see each other tonight to talk about it? I don't want to take your time or something but…
— Sure, we can talk about it, she cut him.
— Are you sure it's not a problem with… asked Luke, pointing discreetly Max with the pen he was still holding, his eyes on his order book.
— Max? No. Why would it be?
So, he goes by Max… What a terrible name, thought Luke.
— I don't know. He seems to be quite… staring, since you got here.
— You can come to my place, she said without noticing what he said.
— Ok then. I will see you tonight.
She returned to her table and when she sat back, Max took her by shoulders and gave her a kiss on the cheek. Luke can surely tell that he looked at him by doing it.

Should I continue or not? Up to you :)