[EMcWilliams]

I put villians range (perhaps a little loose) as follows:

TT, AQs, ATs, KQs, KTs, QJs-QTs, JTs, AQo, ATo, KQo, KTo, QJo-QTo, JTo

and with the magic of pokerstove, we get
Board: Qc Qd Tc
Dead:

equity (%) win (%) / tie (%)

Hand 1: 49.7689 % [ 00.50 00.00 ] { KdKc }
Hand 2: 50.2311 % [ 00.50 00.00 ] { TT, AQs, ATs, KQs, KTs, QJs-QTs, JTs, AQo, ATo, KQo, KTo, QJo-QTo, JTo }

And since you are getting roughly 2.5-1 on this, I feel like you need to call.