UPDATE:
It seems that Heaven Hierarchies have done a great job leading our child to this world. Doctors did not cut umbilical cord prematurely. Our child has the same Rh factor as his mother. Overall everything was done in a very good way. And also doctors did not inject Anti-D (Rho) Immunoglobulin to child's mother after birth.
As I can see we have made the correct choice.
But anyway would be very good to hear what of those evils that I spoke of is the lesser one.