Babe your not a bad mum you did the right thing. When you're stressed and Jazz is crying like that a time out might be just what you both need before you try again. 5 minutes wont hurt her while you get yourself together again and she definately wont think you dont love her or have abandoned her.
Give yourself a pat on the back mummy you've been up since 4.30am and you need to cut yourself some slack. Sending lots of hugs your way