Is it normal to struggle this much??

I struggle to take care of myself. All of my energy goes into baby. I get up every day and want to get dressed, get outside ect..and it rarely happens. I don't have time to put on makeup or do my hair, some days getting a shower in is a struggle. I'm alone from 5 am to 530pm with our 2 month old. She isn't napping well she wakes up when I put her down. I struggle to get laundry done. I will put a load in at 4 am and not have time to put it in the dryer until like 3pm. My house is a mess and I stress about it. This morning my little one woke up at 3am I nursed her and then did laundry and dishes before going back to bed. My husaband occasionally helps, he works long days a has a very long commute. I don't have anyone to help out. I don't even make myself meals anymore. I quietly snack on whatever is around while standing over the sink in the kitchen until my little one wakes up screaming. Is it this hard for everyone? I feel like a failure. Its the lack of naps thats really getting me down I'm just exhausted.