3-4 point low approach shoulder hit
Pushing through with is the obvious response. After , white has two ways to cut, a and b.
Cutting with a is a mistake, and white will get a bad result. Cutting with b is correct.
The normal continuation sees both players getting influence. Black keeps sente, but white's shape is somewhat thicker than black's shape. This is considered slightly better for white.
Later, a is large.
If white cuts with , play continues like this. After , both players have influence, like in the correct continuation, but black's shape is thicker here. Also, due to the liberty filled by , black now has a tesuji at a to claim a big corner.
After , white has four liberties (at a, b to approach, c to atari, to capture), so white cannot play d to kill as she will lose the semeai.
White can continue with e, but that also does not work.