i dont think you play this pot badly at all.
with the straight and probably the nut draw you have to call the turn push. if you arent good for a split then you are probably 9 outs from the pot which is fairly juicy.
I guess from opps position you could put him on QT if hes a decent player but if hes loose id assume he has a just a ten like you. Gotta call for me though.