having a coarse, ruddy complexion.
disheveled in appearance; unkempt.
I have seen scattered around the apartment photographs of a Gertrude Stein who wears her hair in a massive topknot, loose, blowzy , somewhat in disarray.
— Monique Truong , The Book of Salt , 2003
She restores her make-up there: she looks hot and blowzy. Her lipstick has bled into the soft skin round her mouth. Hairpins have sprung out. Her nose and eyelids shine.
— A.S. Byatt , “Baglady,” Elements , 1998
The origin of blowzy is uncertain, though it was perhaps once a cant term. It entered English in the 1700s.