Cut-Off vs Tough button 3-bettor

[HiatusOver]

Online game, I raise 44 in the cut-off. My raise to steal is about 40 percent, expert who plays a Stoxtraderish style 3-bets me on the button.

Flop 983 with 2 spades. I check and call.

Turn Q.

Here is the question. A very strong playing friend of mine says the turn now becomes a check-fold. I usually never fold 44 in a spot like this when no A or K is on the board.

Thoughts?