H.W.
Hi S.,
Not interested is simply that, NOT interested.
My son was completely disinterested when he turned three (which was in April). I introduced some potty opportunities and could see he could have cared less. Even with my other preschoolers all in Big Kid Underwear.
I waited until he was about a month or so out from starting his new preschool-- he was about 3 yr 4 mo at that point, and then told him "So, the teachers say that it's time for you to be out of paper diapers; you can wear cloth diapers or underwear. We're going to start using the potty."
No more paper diapers during the day (except on outings, right at the start-- many kids have a fear of public restrooms-- they are loud, the seats are higher, etc.). NO Pull-ups (which confuse kids-- they are like magical diapers, NOT underwear.)
We did underwear all the time during the waking hours. Every 45 min to an hour: "It's time to go potty." (don't ask, "do you need to?"-- they will nearly always say 'no'-- tell them "Time to use the potty" like it is a fact of life.)
S., waiting was the best thing I could have done. Within a week, accidents were very rare. Your daughter has a LONG time to gain those physiological cues which tell her to go; a long time to learn to master dealing with clothing. (Make sure she is in simple things which pull up and down easily-- no snaps or fasteners, elastic waist is best). My strongest suggestion would be wait until summer if she doesn't show interest, then let her go bare-bottom for a few days if need be. She'll learn what having an accident feels like.
The ultimate 'reward' for using the potty is staying dry, but it's only great if you can actually *feel* wet, so do use just training pants when you decide to start. If you are hitting July and there's still no success, talk to your pediatrician. My son is a late bloomer in some ways, and what's helped us the most is for me to not frustrate his development by expecting more than he can do...which was why I waited.
Just FYI-- there are some preschool programs who are happy to help kids with this process, so it might be worth looking around. I always told my preschool families who were enrolling that I felt it was my job to support kids where they were at when they started preschool, and that kids who were still working on using the toilet would be welcome. Often, when kids see other kids using the potty as 'the norm' outside their own home, this changes their level of interest.