bipolar + PMS = can i do anything right?

First of all, your study has to come first, that is your future... she will have to get used to that and you can tell her that with love, but it can be told to her and you can stick to it.
Secondly, where does it say that you have to argue with her?
There are some things that I just don't argue about with my wife... she argues with me and I stop arguing. I just stop. I will talk to her, but refuse to invest any emotion into it.
Finally, you don't have to tell her she is being a bitch. You can just tell her that she is being unreasonable without being so personal and insulting about it. If she does not hear you, ask her if she heard you, if she says she did, ask her if she is going to changed her behavior based on it. If not, change yours.
You cannot change someone else's behavior... they have to. The only way you can try to get them to is to try different tactics, those are to change your behavior. I would suggest not playing her game, that will only encourage her to continue and increase the behavior.
Just don't argue. When she yells, etc. Ask her to stop, if she does not, either be calm, very calm... if you feel you cannot, tell her you will call her back when she calms down so you can both work it out like adults.
Is she on meds, if so, is she taking them?

BTW, this is not advice, just how I handle things.