FTM feeling so lost

I’m a first time mom at 22 with a 4 month old girl. Love her TO DEATH but I’m having a really hard time with being the primary care taker. My husband is amazing and helps out but I’m still the one caring for her 95% of the time. I just feel like I’ve lost myself and the only thing I can do for “me time” is watch tv because that’s all I can do with her. Some days I’ll get busy around the house and feel so guilty that she’s entertaining herself most of the day. It’s just getting exhausting and I feel like my only purpose is to care for her and I have nothing fulfilling for me. I’ve considered going back to college, I was originally going for nursing, but logistically I don’t think it would work. She’d need to be in daycare and on my husbands income alone it would be very very tight. I’m just lost and am wondering how other moms feel fulfilled while still being the primary care taker for their child. I’m stuck in a place of not liking being a stay at home mom but not enjoying work either.