Your question was "Is there a remote possibility of me being infected?'
That's what Gail was answering with "Nope."
Obviously, you're worried about this, and I think answer is clear that you feel guilty about having sex with sex workers outside your marriage.
Does your wife know about this? Is this part of an agreement that you have? Because the foundation of a healthy relationship is honesty and trust. Many couples find that strict monogamy doesn't work for them as it does for many others, and so they discuss their wants and needs and negotiate a set of guidelines that allows them to pursue their needs and desires honestly and aboveboard.
It doesn't sound like you and your wife have done this, hence you're feeling guilty - and because you feel guilty, you're afraid of getting a scary disease as a punishment and you're even more afraid of passing this scary disease onto your wife. This is the scariest because 1) It would be obvious proof that you had cheated and 2) you would have harmed your wife in the process. So, you're nervous and scared and freaking out despite not actually being at any real risk in the first place.
My advice would be to stop hiring sex workers and consider hiring a therapist or counselor instead to explore why you are doing this and what isn't working with your relationship. If necessary, couples counseling with your wife may be in order.
Do not go and confess to your wife out of the blue. She may have suspicions, but more likely she doesn't know and this would hurt her more than if you kept it a secret. If you can resolve to stop hiring sex workers, then you can take this as a lesson and move on. If you cannot stop, or you don't want to, then counseling (individual first) would be in order.
Dan