I didn't notice any smell, but when I first held my baby I did think that he smelt amazing! He had a really strong baby smell to him!!
I had my waters broken on the hospital bed, then I poo'd myself, then when he was born I was bleeding from a slight tear, and baby pood himself coming out which went everywhere, so my bed must have been a right mess lol but I never noticed a thing or gave a toss as I was so busy concentrating on the task at hand. The mw's kept discreetly changing the disposable mats I was lying on and I never once felt embarrassed, even when getting sewn up I was chatting away to the Dr and when she said I'm just popping some paracetomol up your bum I was like yeah whatever and carried on the conversation lol!!!
There is so much going on during and after a birth its all a complete blur and bodily fluids and smells and dignity (whether your shaved etc) just do not even occur to you!!!!!!!!!