In that situation, as a man, you should be the one to give way. If your girlfriend is angry, don’t match her anger because if you do, both of you will end up clashing and it can lead to a bigger fight.
Understanding and being humble with a woman does not make you less of a man. If you love your girlfriend, you should be the one to give way when she’s upset. Don’t escalate things, try to comfort her and be affectionate, because most women respond well to being reassured and soothed.