Hello and welcome to HCM forum,
i would be glad to answer your query,
first of all, i want you to know that only when the tooth is badly broken or cannot be restored ,until then your dentist
will never indicate an extraction for you.
you have not mentioned anything about the broken teeth, are they front or back.
I will advise you to see an orthodontist first, only after a thorough dental check up, dentist can plan a treatment for you.
There might be a possibility that your broken teeth will be restored with a filling if possible.
Do not worry, just be calm and leave the rest on your dentist.
kindly fix an appointment with your dentist soon,
i hope i answered your query,
i wish you good health.