i'm with bbb on this, there's a big difference between harmless flirting and a full-on cyber affair. it's not like you busted her making plans to meet up with the guy or anything, right?
you care about each other enough to have become affianced, do you care about each other enough to sit down and hash out what exactly constitutes 'cheating' in both your views? i mean, when i make some comment that invites some sort of lewd response from someone and i respond to that with anything but "well actually i'm taken" does that make me a cheater? (imo, no. but that's all subjective.)
for example: say i make some remark about how i have to take care of some business. some dude tells me he'll take care of it for me *wink wink nudge nudge*. the way i see it i have a couple choices. i could get all serious on the guy and be like "well actually i have a bf", OR, i could let him off easy with a "i'm sorry but i don't think i could handle your big thing." <- does this actually mean i actually think he has a big thing, or that i'm the slightest bit interested in it, or that i'm going to get on a plane/bus/train/tricycle and go right over? no, either way the conversation is over. and, if my own experience on internet forums is any indication, if you openly identify yourself as a female, you pretty much open yourself up to be flirted with. i was like "wth?" at one point and was told "well, duh. you're a girl. you're the football, and we're the team. get used to it."
if other dudes want to flirt with your girl online, it means she is sexy on the inside and that is so much more special than just plain lookin' good. you should take it as a compliment.