Confusion on Backcourt

[Amesman]

One more, from the weekend. I think I kicked it but want to make sure one way or another.

A1 is point guard on the dribble in FC near the division line. B1 playing aggressively pokes the ball straight back. A1's next touch is off that loose bounce, not catching it but instead bouncing the ball on the division line to start dribbling again. BC violation? I passed on it. B coach exercised her opinion that I shouldn't have.

I was table side so I had time right away to point out to the coach it was poked away, but it was one of those moments where a wave of doubt hits just as you open your mouth. Kind of like as I'm typing this out and really think about the situation.