D..
No, it doesn't mean she's ready to potty train. It means she has discovered that touching herself feels good. I would DEFINITELY not try to potty train right now! She'll be walking all over the house with her fingers down in her panties...
I would quickly find some onesies that will fit her (if they make them big enough) and some little overalls. Criss-cross them in the back so that she can't pull them down over her shoulders to get them off. She will get out of the habit once she can't get to her diaper anymore.
I agree with the ped to wait for a good while. By then, she will have forgotten all about this.
I don't know if the pink eye was because of contaminating her fingers, but she can get REALLY sick from it if she puts her fingers in her mouth or touches her food.
Btw, popping her hands or fussing at her is NOT the way to break this habit. You don't want to shame her for touching herself. You just prevent it in the first place and don't talk about it with her.
Good luck!
Dawn