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Can you clarify? That trope seems to be the inversion of Reluctant Fanservice Girl, with the male character asking the female character to, well, put some clothes on, (sometimes without physically helping) simply because he feels embarrassed at seeing a naked woman.
For example in PPSCO. Bob would walk into Alice's room at the wrong time, then ask her to dress herself while trying to avert his eyes without getting slapped, punched, kicked in the balls, or decapitated by a giant spiked club. While my trope has Bob finding Alice in a long-forgotten back-alley, and offering his own shirt out of kindness, before helping her find some place to live (which, in anime, winds up to be Bob's house 90% of the time). Or alternatively, simply offering his shirt to someone whose regular clothes have suffered severe damage, spontaneous immolation, cessation of existence, or simply an unexpected soaking.
Edited by Gofastmike
Well, considering the fact that the TTGL example I found shows up in You Must Be Cold, I'm going to have to go with that, with some Exposed to the Elements mixed in since the former's description says that the latter can cause the former, which is just what I was looking for.
Also: Her Boyfriend's Jacket is a straight romance trope, on par with Sexy Shirt Switch, since the female of the group wearing the man's shirt is used exclusively to show the two are in love in both tropes, while YMBC/ETTE has the male character offering their shirt, coat or, heck, even a Sarashi, as a way of showing kindness (like Tastes Like Friendship, but with clothes instead of foodnote ).
Edited by Gofastmike
I'm looking for a trope where a young girl is found in a state of undress by an older male character,note and shows kindness by taking off his shirt/coat/"upper body garment" and giving it to her, while also giving the male character a Walking Shirtless Scene if he has no other garment underneath it.
This can vary from a simple T-shirt to a full-size coat,note but can also extend to variants where the male character has a coat with a t-shirt underneath and gives the shirt to her as the coat is too long for her, leading to a Badass and Child Duo scene with the 'child' wearing a few-sizes-too-big T-shirt hiding behind the leg of a coat-wearing badass, with just enough of the latter's chest showing to hint that her shirt is actually his.
Edited by Gofastmike