I’ll add to the chorus. No, by definition this isn’t gas lighting, but the behaviour is extreme an no less concerning. I’ll not try to give amateur psychological diagnosis over the internet like some here are apparently willing to do, but you don’t need that to know that she’s acting in a really fucked up way.

I wouldn’t say you were “in the wrong” for missing her text, I mean, you missed it, it’s not like you chose to do that, but I can see why from her perspective it felt temporarily frightening and it made her angry to be put in that situation (I’m assuming she was just frightened and that that’s justified where you guys live, because where I am, her request is strange in the first place and getting mad about it not being fulfilled is ludicrous). How she’s dealt with those unpleasant, but temporary emotions that had a perfectly reasonable explanation and resulted in no actual harm is unreasonable, unfair and ridiculous.

The questions themselves are as manipulative as they are pointless. “What would you tell my mother?” I hardly think that’s a particular important consideration “she’s been kidnapped” probably, since that’s what’s happened in this scenario, the question is not asked to get an answer, it’s asked to maximise guilt because she thinks it’s your fault if some psychopath kidnaps her. The subsequent questions likewise are selfish questions to ask because realistic answers are implicitly unacceptable, she just wanted debasement and contrition. If the CCTV is broken then the police, who would be the ones investigating this, would have their investigation compromised, there’d be little you or anyone could do about that hence asking because she wants some kind of super hero saves the princess type of answer or for you to have no answer so she can pounce. She’s extracting false or unrealistic promises on purpose as a kind of emotional salve. The worst and most concerning of all is the request that you kill someone for her, this is real life, not John Wick. I can only assume and hope that she doesn’t really actually believe you’d do any of this not really want it and it’s just part of this stupid punishment where you’ve got to promise the moon over and over until she feels you’ve made an idiot if yourself for long enough. If she really is sincere about that request and wants to bring it up again in any serious capacity that really would be time to leave because the fact that she has a manipulative streak and is now apparently murderous as well raises a lot red flags, but most likely she was never serious to begin with and this will likely not be something that comes up particularly often. This was up to you but frankly I would have stopped the game of make believe at that point and not actually made a promise to kill people on her behalf even if it’s all non-specific fantasy, it’s not a prospect that should be entertained on any level. The thing about the cat was just funny and honestly would have been kind of sweet if it wasn’t for everything that came before. It is evident from the order of questions and the fact that you had answers to everything at that point that she was reaching for a “gotcha” to prove you don’t think about things because you’re somehow inconsiderate.

This response to an everyday wrinkle in the fabric of life is something to keep an eye on because if she cannot deal with being temporarily made to endure bad feelings on occasion without having to make you pay then this is going to happen to you a lot and the things you’re accused of or indirectly implied to be responsible for will be long and absurd. Let her cool off on this specific incident and if after there’s been time to reflect, she still brings it up again with the same manipulative and guilt tripping approach I’d suggest to her that maybe it’s not working out. If this single incident has shaken her faith in you so badly maybe she could take some responsibility for her own safety since apparently nothing you say will convince her that you’ll be of any use in that regard.