Can my wife put my card on her phone?

I am guessing that you mean using your credit card for Apple Pay. I do not know if that would work. I would suggest that you contact Apple directly and ask them. You can use the contact support link at the top of the page to contact Apple. Here is the help article on Apple Pay. https://support.apple.com/en-us/HT204506#iphone. Off hand, I would try it and see what happens.