Colostrum can only be absorbed by the system in the first 6 hrs of life... after that the valve closes and stops the absorbtion.
Only colostrum taken from a goat within 6hrs of birth has any value. Goats stop producing colostrum after 12 hours ..... the milk is then normal.
Artificial C is better than none at all..... if you have any concerns re the kid, your vet can check its blood plasma for antibodies.
The nanny will require long acting antibiotic daily for 5 days + pain killers....usually metacam but Vets sometime have preferences.
She will breed normally next time.
I too have had a ceasar this year, due to one huge kid who was never going to come the usual route..... thank god it was a girl. !!! My girl has just finished her course of drugs but may have to have a bit more because her lungs haven't cleared all the fluid.... we had to do the C section with her on her side which is not desirable, normally it is done standing and this is why she has fluid in the wrong places !!
She won't recognise the kid and it is not worth trying to get her to accept it.... simply because the kid had artificial colostrum, it does not smell of her.
Your biggest problem may be pneumonia....so the het lamp is an excellent idea. Put a coat on her as well...it will stop her getting to the stitches.