"Here?" The Doctor poked his head into a room, being answered with the sight of an art gallery. "No."
"Here?" The Doctor poked his head into a different room, a nautical whistle sounding. "No."
"Here!" The Doctor shouted in satisfaction, throwing open the door. Every bedroom typically had its own bathroom, but since El evidently had… bad experiences with submerging herself in large amounts of water, the Doctor had the TARDIS construct a specially designed room, what amounted to basically a pool with hot water in, and soap and shampoo on the sides, where he could be close by if things went awry. "The bath!"
The Doctor threw his arms out, grinning widely, as he turned to look at El. "Well, whaddya think?"
El looked at the pool of water apprehensively. "…prime minister." She tried to remind the Doctor.
"We're in a time machine." The Doctor retorted. "If he doesn't know we didn't come straight away after getting his phone call, it won't hurt him. Besides," The Doctor sniffed the air, gagging, "We don't want to meet him smelling like stomach acid and feet. There's your soap and shampoo." He pointed, glancing at her, "I would've put conditioner in, but I don't think your hair is long enough for it…"
El looked to the gigantic tub, and vehemently shook her head.
"I'll leave," The Doctor pointed.
"No." El crossed her arms. "No bath."
The Doctor sighed. Human children were stubborn. "El, if you don't get a bath, you're going to be all smelly. People don't like smelly people."
"Not getting in." El insisted.
The Doctor glanced over to the water, thinking about what to do. He wasn't going to throw her in. The water was only deep enough to reach her neck, but she could still drown if she panicked, and since she evidently didn't like water, panic she would.
The Doctor grinned, as something hit him. "Alright then, guess that leaves it all to myself then!" He shouted, taking a running jump into the water, splashing everywhere. The Doctor surface, and spat out a little bit of water, still fully clothed, looking at El.
"…not getting in." El looked back.
The Doctor shrugged. "Suit yourself. Mind passing me that bath toy?" He pointed to a wind-up boat at her feet.
El looked down in confusion. "Bath… toy?" For her 'bath time' meant mental strain, teams of scientists observing her as she was lowered into the tank, with the looming threat of being locked in isolation if she failed to do as instructed.
It was not a place for toys.
"Thank you." The Doctor offered as El mentally pushed it out to him. The Time Lord turned the winding mechanism, and watched happily as the boat spluttered along, bouncing off the walls.
El watched, as the Doctor began happily playing with the toy boat and looked longingly at the water.
Internally, the Time Lord grinned. Hook, line, and sinker.
"Oh no, it's Godzilla!" The Doctor said in a high-pitched voice, splashing a toy Godzilla in the water near the boat. "Who will save us!?" The Doctor lowered his voice.
"Me!" El boomed, holding a robot toy in her hand, still clothed following the Doctor's example.
"Rargh, Godzilla isn't scared of a little giant robot!" The Doctor growled, pushing the boat out of the way, banging the toy against the other gently.
El twisted the robot's arm so its fist was pointed out and hit the Godzilla toy in its plastic head.
"Argh, the great and mighty Godzilla, King of the Monsters, defeated…" The Doctor let out a theatrical sigh, dropping the toy, and watching it sink to the bottom of the pool-sized tub. "Blergh…" He descended into giggles. "See?" He asked El. "Perfectly fine."
"Doctor?"
"Hm?" He replied.
"What is… God-zilla?" El asked.
"A very big lizard." The Doctor answered. "Sometimes good, sometimes bad. He's a movie star."
El cocked her head. "Movie?"
"Moving pictures with sound that tell stories." The Doctor explained. He smiled. "There's a cinema with a lot of the classics in here. After you finish your bath, we can watch some... Might have to stay away from 'King of the Monsters.'" He mumbled something about spatial-genetic multiplicity. "I'll leave you to it," He said, approaching the edge, ready to climb out.
"No." El grabbed the Doctor's hand. "Don't want to be alone." She requested.
The Doctor glanced back at her. "It's not appropriate for someone else to be in the bath with you."
"You just were."
"That was different." The Doctor shook his head. "We're both wearing clothes and were playing with toys. That's no different than a pool. But to clean yourself, you'll need to take your clothes off. That isn't socially acceptable, to have someone watch you bathing."
El frowned. "The bad people watched me."
The Doctor froze for a moment.
'…Okay, new item on the itinerary. Find who messed with this little girl's sense of boundaries and give them a taste of the special medicine.' The Time Lord mentally growled. He turned around, and held up a finger, pointing at El. "Okay, but my back is going to be turned the whole time."
"Okay." El nodded, as the Doctor turned around, trying to walk to the other end.
The Doctor sniffed his clothes, and wretched. He was going to need a bath himself after El got done.