Most Helpful Girl
That's a trap.
If you "vote honestly" and it's for another girl, you're hurting her because she hoped, deep down, that you think she's the most beautiful woman ever. While this is probably not true for 98.9% of men in relationships because you all either settle or fall for a homelier girl than you'd like because all the hot girls you've known are bitchy and unapproachable, it's still what women would like to believe about their boyfriends.
If you truly think she's the most beautiful one there, go ahead and vote for her, but if not, then I would take the safe route and not involve yourself at all; just don't vote.
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Most Helpful Guy
I don't know how this pageant is structured, but it seems to me that you shouldn't be a judge if you have a girlfriend or family member, etc. in the competition. It's not fair to the other contestants for there to be judges who would have a conflict of interest. So I would recuse yourself from judging any pageant in which your girlfriend is a contestant.