Good news Steve.
I broke my little finger on my left hand (I'm right-handed so the same problem as you) - it was a weird sort of internal break but pronounced Very Traumatic (too right, it was on the stage of the Globe theatre in front of about 850 people) - I actually let it set on its own because there was no blood and I thought I could still move it. Had to have it re-broken and re-set when it set itself at a right-angle.
Anyway, my point is, do whatever physio they give you as if your life depended on it. And I'm afraid you will find that the grip in that hand will never be as good again, sadly.