I'm going to call my wife out on her snappy/rude behaviour during her period
That sounds quite common. Are there any other times she acts this way to you?
She's snappy whenever she has her period.
I'm sorry your wife is acting uncomfortable towards you, and you definitely should not let her period be an excuse for it. But you do have to know that periods make hormonal fluctuations and sometime's she can't help snapping on accident, so both of you need to be more understanding.
I am all for that. That's my plan, I want to tell her how her period affects her and that it's affecting our marriage by giving her a hard time.
My plan is not to give her a hard time. Like I said before, you should be patient because it's part of female physiology, and if you give her a hard time, she will likely snap back, even harder, and you will cause a cascading effect that you do not want in your life, trust me.