My wife ruined my work so I kicked her out of the house briefly.
A bit extreme, don't you think? Why did you need to kick her out for that?
I can't take her behavior anymore
Rather than kicking her out, don't you think you should've talked about her behavior instead? If I were her, I wouldn't have let you kick me out of the house just because you were angry. You two need to work on your communication!
I don't have time for that and it could be problematic if I talk to her about it.
It seems pretty problematic already if you are resorting to kicking her out instead of talking out the issues. Perhaps you just need to set guidelines around your work so she knows what has upset you and how to avoid angering you again. Having a conversation should be much easier than forcing your wife to find somewhere else to live.