Hi Katie,
Another here who has been in exactly the same position as you.
No-one will judge you, honestly
Your feelings are perfectly normal. You are in a very stressful, emotional time, not helped by snow!
Allow yourself to feel like this, I cried continually for ages!
I never felt a bond with the girls at first, I had a horrible c sect and didn't see them properly for a couple of days. When I did see them they were just a couple of dolls I was 'playing' at being mum to.
A friend said to me 'you'll never feel another love like it', it took me a bloody long time to feel that, honestly!
A more helpful friend said the more snotty noses I wipe, the more nappies I change, the more sick I clear up, the more I will bond, which is much more helpful!
I totally agree with glamourbadger, ask someone to explain all about SCBU to you, so you feel part of the team. I was overwhelmed, everyone knew what was going on apart from me.
And echo what everyone else has said about talking to hv, gp, or midwife about your feelings.
Hang in there, the mist will slowly clear, and one day you'll be supporting others.
Take lots of care.