I prefer to do my hair first -- when I had my long hair & NOW, with my shorter hair.
I, too, sweat a bit while doing my hair -- so I rather get my hair done & just pin my hair back and go forward with makeup.
After my makeup is done...unclip my hair, flip my head upside down...tousle, tousle...& a spritz of fix+ to finish my makeup look -- then I'm out the door.