K.T.
Hi K....as an Optometrist (and mommy), I strongly recommend that you purchase a 2nd or 3rd pair if that is what it takes!! Or at the very least keep getting them fixed!
If possible, when you purchase the glasses, talk to the optician about "flexible frames"...these bend in a million ways and don't break! Also, most often a warrantee is available for frames and lenses, it's an extra cost, but for a child's glasses, it's the best investment.
Assuming that your eyecare provider wanted her to wear them full time, it is essential that she does. To be given a prescription at such a young age means that your daughter may need to use it in order to prevent possible "lazy eye" and to help her visual functioning, which in turn helps her cognitive development now. So I know it is frustrating, not to mention expensive (!), but it really is important.
I hope this advice helps you.. Good luck to your little one!