This will be a little rude but you write you physically abused her and here you are posting about supporting her. Here’s an extreme example to hopefully get the point across but you wouldn’t expect a sex offender to be present to help his victim heal through the difficult times.

She asked to part ways. Leave her alone. If she decides to give you a second chance after you’ve left her alone that will be her decision to make. Personally I would feel way too guilty & ashamed to let them back into my life after treating them in an abusive way but you don’t seem to have that problem.

The kindest thing you can do for someone you claim to love is respect their wishes. Anything else is just selfish & manipulation. I hope she never comes back because I’m sure she’ll go through it again sooner or later since you’re too focused on getting her back instead of dedicating every second to ensuring something like this never happens again.