Preflop
First of all why is Hero not starting with a full stack? As for the hand we can defend wider against a BTN open, but when he go to 3x in a game with no antes, I would still fold 43o. If we defend this, we are defending at least 90% of hands, which is definitely to much.
Flop
On a flop like this Hero has the nut advantage, because he is more likely than BTN to have a 4 in his hand. For that reason it can be fine to simply lead out (donk bet) and try to get some value. Checking is also fine though, since our hand dont need much protection, and it allow Villain to C-bet with a lot of bluffs.
Turn
This was the worst possible card for our hand, since we now lose to QX. One might argue, that Villain is less likely to have QX, because he checked back the flop, but checking back some QX with weak kicker is actually a reasonable play on Q44 rainbow. So I prefer to check again or go for a smaller bet like half pot. If we bet, we are trying to get called by rather weak hands like a pocket pair or even A high, so we dont want to bomb it, like Hero did.
Hero did bomb it though, and now Villain made essentially a min-raise. This spot just suck. He is going to have a lot of QX, when he takes this line, and what are his bluffs? On a dubble paired board draws are almost useless, since any Q or 4 already has a full house. Also if Hero is behind, he has 1 out. So as played I almost prefer to fold right now.
River
As expected nothing changed. He still have either a better full house with any random QX, or he is bluffing. He bet around half pot, so Hero need to be good a little more than 1 in 4 times to make the call. Hero can absolutely have a Q here, and unless there was some history and dynamic, I dont think, Villain has enough bluffs. So if I called the turn, I would still fold now.
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