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.
Pay and Google Wallet are the safest methods of payment available. Here is great explanation of