There is a very old adage in poker: "Beware the speech!"
Unless you know a 1/3 player is skilled, which doesn't happen often, you can safely assume that when they're comfortable enough to talk to you, it's because they think they have a hand stronger than an overpair.
So, in that spot, assuming your villain is being truthful, I would put his range at:
Text results appended to pokerstove.txt
1,452 games 0.000 secs 290,400 games/sec
Board: Qd Td 3h Kh
Dead:
equity win tie pots won pots tied
Hand 0: 24.656% 24.66% 00.00% 358 0.00 { AcAs }
Hand 1: 75.344% 75.34% 00.00% 1094 0.00 { TT, 33, KQs, KTs, QTs, KQo, KTo, QTo }
Worse, if you add AJ (yes, poker players lie
)
1,804 games 0.000 secs 360,800 games/sec
Board: Qd Td 3h Kh
Dead:
equity win tie pots won pots tied
Hand 0: 20.510% 19.84% 00.67% 358 12.00 { AcAs }
Hand 1: 79.490% 78.82% 00.67% 1422 12.00 { TT, 33, AJs, KQs, KTs, QTs, AJo, KQo, KTo, QTo }
So, it's a fold - a tough fold, but a fold.