If I were in public life I would simply nod to these tarts when introduced to them and act as cold as I could towards them.
She has that aggrieved drama queen look.
I am not a public figure but I have been doing what you described above for most of my life. I saw too many bat-sh!t crazy girls and women throughout my life and decided that if I had to have any more interaction with women at first than an introduction I would shake their hand and always stay more than three feet away from them.