Villain is a station and I am not really sure I should play this. I think folding to his min-raise is horrible.

$0.10/$0.25 No Limit Holdem
6 Players
Hand Conversion Powered by weaktight.com
Stacks:
UTG ($9.39)
Hero ($26.89)
CO ($25)
BTN ($43.28)
SB ($29.37)
BB ($8.05)
Pre-Flop: ($0.35, 6 players) Hero is UTG+1 K♦ K♥
1 fold, Hero raises to $1, 1 fold, BTN calls $1, 2 folds
Flop: 9♥ 7♥ 3♣ ($2.35, 2 players)
Hero bets $1.75, BTN raises to $3.50, $1.75 to Hero ($24.14)?