I'd be very interested to see some takes on this situation.
It's heads up cash but I figure most people are here have good advice.
First hand heads up vs an unknown villain
Effective stacks $40, blinds .25/.50
Villain is BTN and raises to $1.50.
Hero is dealt J

J

and reraises to $4.50
Aiming to get rid of his air which is pretty likely at this point. JJ never flops well.
Villain calls, no idea with what kind of range
Pot $9
Flop Q

T

K

, hate it and love it
Hero checks, Villain bets $6.50 into $9.
Hero shoves or folds?
So I have 8 outs for the nuts and 2 for a set which is very likely to be good.
If he has K9 or something like that I figured he'd fold it to a shove.
I have blockers for hands like KJ - QJs that he'd probably play like this and would be a disaster to be up against, JTs would be a dream. AK he may have shoved pre and there arent many pairs with an ace that most villains play like this.
I'm almost never ahead when I get called but I do have around 40% equity for the best hand.
I'm don't calculate folding equity but I assume that if he folds 20% of the times here I'm winning.
I assumed he definitely folded 20% here so I jammed.
Criticism is appreciated. It may be a superstandard spot where EV fold is nearly similar to EV shove but I'm not sure.
Can't win if you fold..