No you don't have to 'take her back'. With many alcoholics and addicts that's them, it's not the chemical talking. They lacked impulse control made worse by the chemical but those thoughts and actions were in their mind most times they acted up, out, abusive, angry etc. The chemical did not manufacture them but made acting on them easier.
The A or addict must earn foregivenss and respect and must understand there are certain lines that once crossed they will never get back on the other side.
That being said it might be possible for a new different relationship but do not hope or wait for things to return to normal what ever thas was.
Peace