Well, I would be upset that she planned on having my dd's hair relaxed. Dd6 and 8 have fine, straight hair, and if my SIL took them in for a perm behind my back, I'd be livid.
However, I see nothing wrong with girls wanting their nails to look nice, have their eyebrows waxed (dd8 needs hers done, and I'll take her when she asks - I plucked my eyebrows in JH), and having their hair done.
Just because these things don't interest you, they might interest your dd.
I'm sitting here in sweatpants, and no makeup. Dd13 wouldn't be caught dead looking like I do right now!

She gets up 1 1/2 hours before school to primp (light makeup, flat iron, pick out the perfect outfit). From the looks of things, this is normal (I remember drying and curling my hair every day when I was in MS/HS).
All of my girls have been going to a salon to get their hair cut and blown out since they had hair. They've all been treated to mani/pedi's (we have tons of nail salons - $10). Now, if dd13 wanted a manicure on a regular basis, I'd have no problem with that, provided she used her own money (she'd have to give up her starbucks habit).