I just got this sweet baby but almost immediately lost the means to take care of her and I don’t know what to do

I just recently started renting for the first time with my girlfriend and we decided to get a cat since we weren't allowed to have one at my grandparents place. Unfortunately for unrelated reasons my girlfriend left me just a few days after getting this young lady and I no longer have the time to give her the attention she needs. I work 10-11 hours at night so in combination with sleeping I can only take care of her for 4ish hours a day before leaving her completely alone

I really don't want to get rid of her, she's a super sweet bean but I feel it's irresponsible to keep her alone for that long and I don't know what to do