The only hands that have you beat are:
Q with a higher kicker (unlikely since it would be the case Q- There is 1 Q left in 47 unseen cards, so almost 5% that your opponent was dealt it. Also, you expect a fold from any Q with a kicker less than 10, so even if someone was dealt the Q, about a 60% chance they folded it.)

Q2...the "nuts" (very unlikely, I won't usually play Q9, let alone that crap)

or pocket 2s. ( 1:220 that a player has 2,2. Times 10 players 1:22 or another almost 5% I personally fold 2,2 if I don't think I'll get 4 way action in NL, or 5-6 way in limit.)

So, If you get reraised, push. you'll lose at most 10% of the time, but hey, that's no limit.
You still have 4 outs against 2,2 (17% chance of winning) or 3 against another Q (13%)
You could get called by a second best hand, such as AA or KK.
I will sometimes (rarely) reraise a check raise representing the nuts with as little as a pocket pair, depending on how I read my opponent.