It's close, but I'd also c/f the turn.
The problem in this hand is, that he has a 100% preflop-range.
So we have to expect every flushcombination is in there.
Of course he might raise some FDs/2pair on the flop, but then again he plays unreasonable.
So I gave him the following range: {KK+,TT-99,66,AKs,AsQs,AsJs,AsTs,A9s,As8s,As7s,As6s,As5s,As4s,As3s,As2s,K2s+,QsJs,QsTs,Q9s,Qs8s,Qs7s,Qs5s,Qs4s,Qs3s,Qs2s,JsTs,J9s,Js8s,Js7s,Js5s,Js4s,Js3s,Js2s,T9s,Ts8s,Ts7s,T6s,Ts5s,Ts4s,Ts3s,Ts2s,9s8s,9s7s,96s,9s5s,9s4s,9s3s,9s2s,87s,8s5s,8s4s,8s3s,8s2s,7s5s,7s4s,7s3s,7s2s,6s5s,6s4s,6s3s,6s2s,5s4s,5s3s,5s2s,4s3s,4s2s,3s2s,AKo,A9o,K2o+,Q9o,J9o,T9o,T6o,96o,87o}.
Any TP, a lot of 2nd pair, all flushes, all 2pair, all sets, some 3rd and 4th pair.
Board: Kd 9s 6s Ts
Dead:
equity win tie pots won pots tied
Hand 0: 37.462% 36.43% 01.03% 3398 96.50 { AdKc }
Hand 1: 62.538% 61.50% 01.03% 5737 96.50 { KK+, TT-99, 66, AKs, AsQs, AsJs, AsTs, A9s, As8s, As7s, As6s, As5s, As4s, As3s, As2s, K2s+, QsJs, QsTs, Q9s, Qs8s, Qs7s, Qs5s, Qs4s, Qs3s, Qs2s, JsTs, J9s, Js8s, Js7s, Js5s, Js4s, Js3s, Js2s, T9s, Ts8s, Ts7s, T6s, Ts5s, Ts4s, Ts3s, Ts2s, 9s8s, 9s7s, 96s, 9s5s, 9s4s, 9s3s, 9s2s, 87s, 8s5s, 8s4s, 8s3s, 8s2s, 7s5s, 7s4s, 7s3s, 7s2s, 6s5s, 6s4s, 6s3s, 6s2s, 5s4s, 5s3s, 5s2s, 4s3s, 4s2s, 3s2s, AKo, A9o, K2o+, Q9o, J9o, T9o, T6o, 96o, 87o }
Against this range we have 37% equity, so theoretically we can call. But since we have to expect him to bet the river we will have some reverse implied odds, that makes it a fold to me.