Male middle name for a girl

Just looking for some opinions on middle names. I would really love to have my dad involved in my baby's name, as the middle name. His name is Adrian. We are still too early on to know if we're having a boy or girl, but I have brought it up with my partner so he knows what's happening! So my question is, what does everyone think about traditionally male names as a middle name for a girl? If we have a girl, her first name will definitely be a traditionally feminine name. But is it weird or strange or totally normal to have male middle names for girls? Please let me know any and all thoughts! 
Also I know Adrian can also be Adrianne (or similar) for females but I already have an Aunty Adrianne so only really want the traditional male version of the name. Thanks ☺️