I'm going to make my sister pay for my broken switch controller.
Is there a reason you think she should pay for your broken controller?
Because she broke it when she borrowed it and brought it to her house.
It's understandable that you would want her to pay for something of yours that she broke. You should ask her to pay you back for it in a polite manner.
Hopefully she doesn't try to get out of paying for it.
I'm sure she'll have no issue paying for it as long as you talk to her about it politely. It also might be a good idea to think twice about letting her borrow something of yours again.