I've been reading a lot about giving birth lately, and I find it funny to hear again and again how disappointed women are to not be able to give birth "naturally" (and this refers to everything from painkillers or epidural to induction to c-section). A new opportunity for disappointment with twins is to not have the chance to bond with the first baby before the second one comes (or even if the second one isn't imminently on the way, and the doctor takes the first quickly to do all the necessary health checks).
And I have to say, "Huh?!" I'm sure it's lovely to have that first bonding session, to attempt nursing, to just check each other out, but isn't the health and safety of the baby priority? I had my first by c-section and although they were so thoughtful as to put her up next to my head for about 10 seconds, I didn't see her again for 2 hours. And we seem to have bonded alright. Nursing went fine. So I have to say that although those first few minutes can be an emotional and relaxing time, they are a luxury that you may not get depending on the circumstances.
Women should be careful of disappointment because it can easily lead to depression. If the birth hasn't gone as you expected, it's important to accept the outcome and enjoy your baby as you would if you'd pushed him out yourself. It's not "unnatural" birth. It's modern. Live in the now. We're lucky to have so many possibilities to get through this extreme situation without (or with very limited) danger to us and our babies.