[2NL] TT OOP facing river decision

Villain is 38/20/0 (3bet). Villain limped 14% of the time, calling a raise 75% of the time and folding the other 25%.

Folded to 60% cbet, 3/5.

Attempt to steal was 50%, 15/30.

PokerStars - $0.02 NL (6 max) - Holdem - 5 players
Hand converted by PokerTracker 4

SB: $2.12
Hero (BB): $2.00
UTG: $0.94
CO: $2.00
BTN: $3.84

SB posts SB $0.01, Hero posts BB $0.02

Pre Flop: (pot: $0.03) Hero has T T

fold, fold, BTN calls $0.02, SB calls $0.01, Hero raises to $0.10, BTN calls $0.08, fold

Flop: ($0.22, 2 players) 4 3 4
Hero bets $0.16, BTN calls $0.16

Turn: ($0.54, 2 players) 2
Hero bets $0.44, BTN calls $0.44

River: ($1.42, 2 players) K
Hero ???

I am not worried about the K on the river, more-so what Villain was calling with on F & T.

On flop I put Villain on 33-99, with a 38/20 I think he would raise on the button with TT+ at the very least. Ad2d-Ad3d, Ad5d-Ad9d, A4s, A3s, A4o, A3o.

On turn, once villain calls, I think I have to exclude FD's from villains range now. 33-99, A5s, A4s, A4o.

Leaves me with the river decision. If I have villains range correct, which is the weakest part of my game so please feel free to tear apart my assigned range, PokerStove gives me this;

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Text results appended to pokerstove.txt

77 games 0.000 secs 15,400 games/sec

Board: 3d 4d 4h 2s Kc
Dead:

equity win tie pots won pots tied
Hand 0: 38.961% 38.96% 00.00% 30 0.00 { ThTs }
Hand 1: 61.039% 61.04% 00.00% 47 0.00 { 99-22, A5s-A4s, 65s, A5o-A4o, 65o }

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Thoughts?