TT against a 3-bet...

[ReptileHouse]

What's your impression of how villain sees you?

I strongly prefer raising on the flop instead of the turn. BB may well be isolation raising here, so his range is a bit larger than a normal 3-bet range.

Something like: AK, AQ, AJ, KQ, AA-99 (or even 88 if he's feeling frisky and thinks he can outplay you HU).

The flop bet from the BB very much feels like it could be an attempt by the BB to define your hand, not a value bet. Raise and let him know you have a real hand. If he re-raises, you have a much better idea of what you're up against.