yes. this is not uncommon. It could be a sensory issue(voice too loud, smell (aftershave, lotion, etc)or just the rigidity of her thought process. also, most of her teachers/caregivers are women--what she is used to.
Make DAD the "candy". have him give her the preferred item or food or treat or toy. ask him to diminish his direct eye contact; use soft tones; don't rough house....etc. also let him know and make sure he understands this is NOT PERSONAL. this is part of her disability and she can't help it.

My neurotypical niece did this when she was a little one (younger than 7). She was SO scared of the deep voices, the "manly" features of the male face, their big stature, the "unpretty" clothes they wear, etc....My personaly opinion is the "maleness" of men is very threatening and scary to some children. I have no advice to give you for overcoming this with your daughter; my niece just grew out of it as she slowly realized her male family relatives could be sweet and gentle in their own male-way. I think some of the play time they had with her involved playing puppets, where they were hidden from view so all she could see were the characters. Might give it a try.

Does your little girl like movement, deep pressure, and rough housing? If she does, then have daddy do it! Dads are the best at that kind of stuff. If she doesn't like it then have dad just sit by her while she plays. That's it. It sounds like him just being in her bubble would be a victory at this point. Once she can handle him sitting by her, then hopefully he can slowly....soooo slowly get more involved in her play.

I knew a child who was afraid of beards, baldness, and dark skin. I also knew a child who found deep voices soothing and higher pitched voices intolerable. It just depends on the child. Oh by the way, the above examples were children who were NOT on the spectrum. Our kids with ASD are even more sensitive!