What does 'she went for him' mean?

The answer would depend on the context of the question. If talking about a woman admiring a man and deciding to pursue meeting him or a relationship, that could be stated as "she went for him". If she wanted to kill him, and moved in for the attack, then again "she went for him", kind of like "went for the gun". Then again, maybe he needed to go to the store, but didnt want to...so..."she went for him". Likely my first answer is the correct one, but it really is depending on the situation.