The issue IMPO isn't whether or not a woman/man has the right to have a friend of the opposite sex.....the issue is what did you do when you H voiced his concerns about your male friend? Did you listen to him and take some appropriate steps to quell his concerns...or did you get defensive and say something like....(I have the right to have whoever I choose for a friend whether you like it or not.)?
It all comes down to appearances IMHO. If my H had a female friend that I knew he spent some time with and knew they were close....and lets say for some reason I just was uncomfortable with that friendship...perhaps my H's tone of voice or facial expression changed when talking about this person. Lets say I voiced a concern about this "friendship" to my H and he just phoo-phooed me off...you know what that would do in me? Make me wonder what's up with him and his "friend". It would begin fostering suspicion in me. It's not a stretch at all for me to believe your H would react in a similar manner.
However...as I've said before, if your H is cheating (and I really hope he's not)....that's all on him. Nothing you can do can MAKE him cheat. However, I'm going to respectfully disagree with HP about the condoms and game-playing. I don't think he bought them for you to find....my gut just says his defensive behavior + condoms = BIG TROUBLE. Keeping your eyes/ears open, looking through cell phone/credit card bills etc is only a smart thing to do at this point. It will either tell you that he truly is stepping out on your M....or it will give you the peace of mind of knowing he's not doing that.