I meant to add that your STD risk is low anyway, since the sex was protected.
It's a bit too long for an STD from an exposure 2 months ago, and discharge from STD usually has no odor. This sounds more like a non-STD infection such as nonspecific balanitis -- i.e. just bacterial overgrowth, which sometimes happens in uncircumcised men and often causes strong odor. You are correct to get professionally examined, but I'm guessing no STD will be found.