That's a cop-out though to excuse bad behavior. I'm not saying the cause and effect isn't true and doesn't happen, but excusing it devalues those who have gone through traumatic experiences and DON'T take it out on others.
For every Alexis, there's a woman who has suffered greatly and perservered to not let it dictate their future actions, and excessive sympathy towards alexis-types risks diminishing their strength.
That's what people used to think, you can walk it off or "close your eyes and think of England" or whatever, just gotta be tough. But sheer numbers mean people got more insight. Not every rogue veteran is just "too weak" or wants a "cop out", there are just too many of them. Similar to a car accident at 50mph where some people walk off almost unscathed while others have several broken legs or even die, or to people walking through a room full of sick people coughing and not get sick while others just barely need to hear a sneeze and developing a fever, psychological impacts differ. And people just are different as well. Some people can climb out of some crevasse and get to safety while others can't and need to wait for help. That doesn't diminish the strength of those who were able to get out in the slightest, but nobody will be equipped to deal with everything life throws at them.
True, psychological damages are less easily found than, say, a broken femur, and less provable, but that does not mean they don't exist. And also true, since you can fake it, or use a real happening as a cop out to just not bother and have a free pass of some kind, people do. But again, that doesn't make those weaker who successfully fight against it.
And of course Mike does not have to put up with Alexis character - whatever reason there is for it. I mean I could say that not doing so and trying to help her because of her bitchiness is just a cop out and diminishes those who go through hard times together, but that would be equally silly. It may be too much for him. It is perfectly fine for Mike as an extension of the player to reject her. It just isn't necessarily her fault, nor his. It may be the player's fault that he sleeps around with everybody, keeping it secret as long as possible, while not being happy with a woman doing the same except being more open about it, but that would be a real life argument (where it would be hypocritical) but falls flat in a wish fulfillment game.
And finally that leads us to the meta level of whether or not we want to have such type of a character in a game like this. That is entirely personal of course, and a totally different discussion, which we better leave because many a thread was cleaned up and many a user admonished when discussing it in too much detail.
In the end I was answering to your question what being raped would have to do with acting bitchy, and the answer to that is: it can happen, and it is not necessarily the victim's fault.