If you bf/gf was so atractive to people that people threw themselves at him or her and you were not a violent person, how would you handle this?

If you're trying to not make it too obvious what you're doing, and if your s.o. looks uncomfortable but tries to be polite about it, just interrupt them with something commonplace, like that you don't mean to intrude but (then turn to your s.o.) ask them something only people in relationships would. "Sweetheart did you remember to put the stove off at home?" or "Did our son/daughter tell you what time we should pick them up?" Subtle and believable for the most part. Also try to turn your back a little to the culprit to make it clear that they're no longer part of the conversation. Most people would feel uncomfortable and leave. Brings the point across. If they continue then they're probably an idiot or don't care, in which case being direct is the best option.

Since I missed that underlined last part until now, if they know what's up and continue to do so, pop a bitch in the nose.