Critics say that the situation creates a generation of so-called "designer" babies, whose characteristics have been carefully selected, right down to their hair or eye color.
Lynn McDonnell said that the choice isn't about cosmetics, it's about fostering a connection between parent and child.
"You want the person to have some resemblance to you and your family, so they don't stick out. They blend in," said McDonnell. "And I think that a lot of people really pick something closer to home than designer."
She said handpicking the best donor is really just about giving your kids the best start.
"If this person is an Ivy-educated person and they have really great genes, why wouldn't you want to do that for your kids?" she said. "To have a fleeting chance at being intellectually superior to other people, and really providing themselves with a great life."