"What exactly was the point of the Counselor?...
The same reason why TNG had a counselor. That this is a position that has a purpose. Remember, this is the first episode of STC. Who knows how this character will evolve. I have a feeling that since the actress is Vic's fiancee, she'll likely figure prominently... as counselor, advisor, etc."
Jim Kirk already has a "counselor/advisor etc ". His name is Leonard McCoy.
You know the counselor character wouldn't have bothered me, except that it seems from jump that this series is trying use to many TNG elements too quickly. You got both a holodeck scene and a counselor. Hell, you even got Marina Sirtis playing the computer voice.
If you're writing is strong, then relying on stunts like that aren't needed. The counselor character could have easily been a nurse but instead, as a nod to TNG, she was made a counselor. I don't mind nods to other series, as long as it's done in moderation.