I'm so glad, it seems like you had a good afternoon!
of course your little girl is forgiving, you're her whole world! but all the more reason to get help now so you shouting at her doesn't become the norm.
and there's a very good reason for you that mornings are the worst...they start at a ridiculous time! but my mornings generally start around 6.30 and are still often stressful, I find both children need so much more attention in the morning..perhaps reconnecting after sleep? DS gets more badly behaved and antsy around my feet the longer we stay indoors and DD gets clingy and tearful because she needs a nap quite soon after waking for the day. I thought I was the only one but have spoken to others who find the same. I've had some success with getting most things ready the night before - Clothes for the children and for me, breakfast prepped as much as possible, snack packed in my bag and quick check that I have everything I need in there to just grab and go. so in the morning it's not such a rush, and my tip would be just get out of the house as soon as possible in the morning. go to playgroup, the library, a park, just for a walk - whatever...the aim for me is to let DD nap and let DS feel that all my focus is on him, so a walk is perfect. I've found I've started to make friends at groups or at least see people regularly enough that they're a friendly face and have often found people offering to hold the baby while I play with the toddler or watch the toddler while I feed the baby. it makes such a difference to my stress levels if I get out asap
are you seeing the GP today? please don't suffer in silence, there's help out there you just have to keep pushing for it sometimes. your HV Can tell you about homestart, perhaps there's a local children's centre nearby or soft play?
have you spoken to DH yet? please do call on your friends again, they're there for the bad times as well as the good 