Number one:
If you are RH- and your baby RH+, and your blood mixes with your
baby's, it could become sensitized. Your body could begin producing
antibodies to the RH+ blood. If these antibodies get to an unborn
baby, they can begin killing off the baby's red blood cells. This
is called RH disease. It is rare for it to affect a first baby, but
if the mother becomes sensitized and produces antibodies to RH+
blood, it could cause problems for future babies. RH disease is
very serious; however, recent medical advances allow 90% of babies
with RH disease to survive (March of Dimes).