Serious mom guilt

I have had one of the worst days of my life. I currently love with my parents after leaving my abusive husband. Me and my son have been sick for the past week and today I was feeling very nauseated and weak, no one offered to help me out with my son or 4 month old daughter. At 3pm I wanted to give my daughter a bath and I thought I was feeling better but after I picked her up to put her in the tub, I fainted. All I remember is waking up next to her on the floor and my poor baby girl was face down on the bathroom tiles. As soon as I realized what happened I picked her up and called for help. My dad came in and took her because I was so weak I was afraid to drop her again. She had a red mark on her head but no bump so I don’t know what she got or how hard. She didn’t cry for long and about half an hour later she fell asleep and had a short nap. I have been watching her like a hawk all day and checking her pupils, she’s been herself and happy. It’s now 930pm and she’s in bed for the night and I’m petrified to go to bed because I don’t want to take my eyes off her. Should I have gone to the hospital? I live in a very rural area and the nearest hospital is only a 5 bed hospital and I know they don’t have the equipment to detect a brain bleed, if I need to go to the big hospital it’s 2 hours away and I was afraid to have her in the back seat by herself for that long.