I really don't see that you're doing anything wrong. It's been a crappy day and some days are like that. I highly doubt that there is no possible satisfying and financially viable career option for you. It's okay that you can't see it right now.

One of my kids has had phases featuring many episodes like the one youre describing with your daughter. My heart goes out to you. It's not easy. A book I found really helpful was The Explosive Child by Ross Greene http://www.amazon.ca/gp/aw/d/0062270451 it made me feel saner, less desperate and less at fault.

Sending you hugs. Be gentle with yourself. Try not to think very big thoughts. Focus on dilemmas like "would tea or hot chocolate taste better right now?"