People signing a lease and then letting other people live in the property is not an uncommon scam so the manager is probably within his rights to inquire about the "woman" he saw.
Best to come clean and figure a reasonable excuse for your wife lying in the first place.
And if you don't want an uncomfortable experience, you may want to rethink your attitude about your neighbors that you haven't even met yet. We often get back what we give. If you think of and treat these people as "rednecks", they may think of you as a "faggot".
