Good point to remember- we don't know all the circumstances! No, this doesn't make you an uncaring parent... in fact, I think this makes you a great parent... you take care of yourself as well as your daughter. You mentioned that you know your daughter is being taken care of at school or in the hospital. That is a key point. You've temporarily transferred responsibility of care.
When I posted my comment about rather dealing with parents who are challenging than parents who don't care, I guess I should have more more clear, and for that I apologize. Unfortunately, I have encountered parents who don't care or don't understand, plain and simple. It's not a judgement, it's an observation. When someone tells me that they "didn't have time" or "forgot" to pick up their childs medication to manage a chronic condition, so I'm taking care of a child who is having complications from this condition. Or they didn't follow up as directed when they are given specific things to watch for and they admit they noticed them... long before it became critical. Denial or being overwhelmed? Maybe... but when this happens repeatedly with the same patient? There are resources available, and when people chose not to take advantage of them, and the same senario occurs again and again, I find it very discouraging.