Badly played KK? (3-6)

[Lewkiz]

The opponent 23/9. Is this a bad fold or should I have folded on the turn?
Thought that his flop minR meant that I was either way ahead or way behind, so probably better to call down. When the ace hit on the turn my hand pretty much became a bluff catcher, the thing is the turn card is a very good card to bluff but thought that he would not fire again on the river if he didn’t have anything.

No IQ poker 3.00/6.00, hand converted by the iPoker Converter at Talking-Poker
saw flop | <font color="#C00000">saw showdown</font>
Button Hero ($829.65)
SB chirpybrox ($674.30)
BB x777x ($594.00)
UTG <font color="#C00000">waaaa ($447.85)</font>
UTG+1 council123 ($825.50)
CO xxxkamuishiroxxx ($211.82)
Preflop: Hero is on the Button with K [img]/images/graemlins/spade.gif[/img] K [img]/images/graemlins/club.gif[/img]
waaaa calls 6.00, 2 folds, Hero raises to 30.00, 2 folds, waaaa calls 24.00.
Flop (69.00) 2 [img]/images/graemlins/heart.gif[/img] 4 [img]/images/graemlins/diamond.gif[/img] 3 [img]/images/graemlins/spade.gif[/img]
waaaa checks, Hero bets 58.00, waaaa raises to 116.00, Hero calls 58.00.
Turn (301.00) A [img]/images/graemlins/diamond.gif[/img]
waaaa bets 102.00, Hero calls 102.00.
River (505.00) 3 [img]/images/graemlins/diamond.gif[/img]
waaaa moves all-in for 199.85, 1 fold