No it won't. NFC terminals that are at stores that are utlilizing the MCX standard (Walmart, 7-11, Best Buy, Target) will not support Apple Pay.
Correct as recently stated by Apple Support
Some stores might have this symbol on their card readers and point of sale terminals, but they might not be currently set up to accept contactless payments including Apple Pay. At the current time, this includes 7-Eleven, Home Depot, and Jack in the Box. If you cant use Apple Pay at a store that is displaying the contactless payment symbol, please let us know using our Apple Pay feedback form.
http://support.apple.com/kb/HT6534?viewlocale=en_US&locale=en_US