QT isn't a bad hand to call with against a non tight 3bettor.  It flops fairly well, making solid pairs and straight draws that are definitely playable in a 200 chip pot with around 350-400 effective chips remaining.Vs a guy that has 3bet 3x in a short sample, folding will almost certainly be worse than jamming or calling.  If you're in doubt about postflop play vs this villain and aren't super comfortable or confident in 3bet pots to begin with, jamming QT might be the easier choice, but really think about why you don't want to call and lay it out on the forum so we can discuss.

1 - Board texture does matter, though readless you'll probably raise/jam a lot with TP hands.2 - You'll often play strong draws with a raise, though do keep in mind on some boards (more so with Kx or Ax hands in non 3bet pots where players don't have as many Ax or Kx hands making up as large a % of their range) you might want to flat some draws because you can often be ahead of bluffs simply with Q hi and when you raise you sometimes only get decent hands to call (example, a player that won't bet weak pairs or SD value, when he bets he'll often have a pretty strong TP+ hand or air, and if your Q hi or K hi or A hi beats their air, you may elect to just flat... again this is more specific/detailed to really explain here and happens more often in 30+bb area in my experience).3 - You have a lot of fold equity on many boards, jamming/raising weak draws is often appropriate.4 - Shoving isn't necessarily bad, you're rarely folding 2nd pair in a 3bet pot in a ST anyways, these are short effective stacks and readless your opponents will generally have too wide of ranges on many boards for it to be bad to stick it in with 2nd pair.  With reads you can find some folds, but honestly it's an exception not the standard when you're folding 2nd pair in any sort of built up pot in a ST, stacks are just too short, you have too many chips in the pot to fold that strong of a hand without a good reason. At deeper stacks, often the only reason you won't raise that 2nd pair is because you fold out too many weaker hands and build huge pots against stronger hands (again, very opponent/board/hand dependent) so the "lose huge pots" versus "win some small pots" is too out of balance for it to be advantageous for you.  That doesn't really happen as much in STs, and if you find your opponent folds everything except TP to raises, then raise literally everywhere to take advantage of the fold equity.  Aggressive adjustments and overall gameplans are much more important in the STs, as there really is not successful "nit it up"  "wait for value" strategies that can often be very effective in deeper structures games (bc opponents make so many huge mistakes that you can pass up +EV spots and still make up some or all of that later by exploiting huge loose tendency leaks in a very slow and deeper structure).Typed this up fast bc I have to run for a bit, so I'll check on it later and make sure there aren't any major mistakes.