Martha Stewart can add one more job to her impressive resume: grandmother. The ultimate home entertainer's only daughter, Alexis, is the proud mom to a baby girl named Jude, PEOPLE reports.

The baby was born via a gestational surrogate earlier this week.

While Stewart is over the moon with her new granddaughter, don't expect her to be called "Grandma."

"Martha is going to be called, 'Martha,'" Alexis, 45, said on her radio show, 'Whatever with Alexis & Jennifer.' "She seemed to have no problem with it. ... I was like, 'Do you really want to be 'Grandma'?' I don't like the term grandma!"

No matter what the baby will call her, one thing's for sure: Stewart is eager to spoil the new addition to the family.