Remember, the purpose of correction is to correct her. And that means, after she has been properly chastized,* to give her opportunity to demonstrate her repentance.** And she can do that by showing that she wants to behave propertly.
She should be told to dress in proper, modest, lady-like apparel. A nice button-front dress (with front-clasp bra, if any) is in order. A tasteful silk blouse (slightly diaphonous) with lace bra, and an appropriate dirndle skirt (velvet or satin would work very well.)
Stockings and heels are defnitely in order here.
Kate should thank her guardian by standing still, before him, while he enjoys unfettered access to her nice, firm, teenage tits. She should politely offer to unbutton her front, but be alert to his inclination to do that, if so. Then she stands there, hands at her side, dutifully allowing him whatever pleasure or further chastisement he has in mind on her sweet, firm tits.
All kisses must be returned,
The offence was flashing her panties. She needs to learn that panties (and contents) are for those who have legitimate rights to them---not the general public. Kate will now be hung by her feet, so her flipppy little skirt hangs down (up?). Guardian will now have the appropiately personal privilege of exploring her panties, and then removing (or ripping) them. He will eat, nibble, lick, bite, or apply sex toys, because this is his right as guardian of her, errr..., virtues.
Meanwhile, Kate, while upside down, must orally serve her master. She just caress and fondle any part of his shaft not inside his mouth, along with his balls, scrotum, belly, thighs, and ass, with her fingers and long locks of her freshly shampooned, fragrant hair.
That will make a proper young lady of her!
*I am sure there will be plenty of suggestions on this!
**"Repent" means "to turn around." We will, indeed, turn her around!