Pay and Google Wallet are the safest methods of payment available. Here is great explanation of
Pay that will show you that your insecurities are unfounded.
http://www.kirklennon.com/a/applepay.html
This is the reason I try to use Apple Pay as much as possible. Sadly it's hard to find a place that accepts it. Near my office Pret A Manger claims to accept it, but every time I try to use it at all Pret locations nearby, the cashiers can never get it to work or say that it only works on one register. It's frustrating.