Help! Husband wants middle name

I really need some advice! My husband and I have had a hard time agreeing on our baby girl's name. He came to me this morning and said I can choose the first name but he gets to choose the middle name. He is Latin and says its tradition to pass down a female's name from his side of the family. I have four sisters and a mother, and am worried that they might be offended if we chose HIS mother's name as our baby's middle name. His mom's name is Pilar...