R.R.
She isn't constipated yet, but trust me, this is how it starts. My guy did the same thing until he was constipated, and on the verge of developing encopresis. You need to make sure she's eating lots of fruits, veggies and whole grains, plus drinking lots of water so she needs to go poop every day, fiber gummies help as well. If she gets to the point she's held it and becomes constipated it will hurt when she goes, and then she will hold it for that reason and this will be an even bigger problem.
A site I recommend explains that children under 5 think they can hold poop in and make it disappear, they don't understand until 5 or older that it isn't going to go away or that they need to poop and are hurting themselves by trying to hold it it. Check out the site, it is a wealth of information on potty training problems and will hopefully help you get her on track:
http://www.rogerknapp.com/medical/pottytrainingrefusals.htm
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And while I realize you say this isn't a potty training question, it truly is as pre-training all goes into her eventually being potty trained. Toddlers and even preschoolers can't separate in their minds and know that this isn't one whole picture and see it simply as not using the potty vs using the potty, to them pooping is pooping, period, it all goes together. Each child is different in regards to how they will potty train, even within the same household, I have trained many children before my last a year ago and I still learned things I wasn't aware of that helped me get him there.