In addition to Jinger, I think Joy would find no-show peds helpful. While I don't wear pumps, I do wear flats and clogs. My feet are small, the key for me was finding ones that fit - or too small even. If the peds are too big, the heel part sticks out and the peds slide down into the shoe - ALL day. It also depends on the shoe. For clogs like Michelle wears, my favorite brand are, ironically, Nike. For flats like Joy wears, with a peek of toe cleavage, I have a couple of pairs from, I think Kohls.
To avoid gross feet like Joys, I'd rather deal with readjusting my sock once or twice throughout the day if they slip down.
I'm guessing Jinger and Grandma gave up on washing socks for 9 girls in addition to the 10 boys. I think Jinger and her sisters wear ankle boots (maybe all shoes?) without socks. You really can't take all the Duggar out of these girls.