Firstly, there are no additional to women undergoing IVF but only those experienced by any other patient undergoing IVF, which include multiple pregnancy, ovarian hyperstimulation syndrome (OHSS), pelvic infections, internal bleeding during egg collection, ectopic pregnancy, etc.
Secondly, as regards the baby, available data shows that pregnancy rates are reduced with each cell that is removed from the embryo for PGD testing. However, practical experience does not support this indications. Nowadays, embryologists remove a single cell from the embryo, so there is no reason to worry about.