What does the name Ta'Mya mean?

Ta'Mya appears to be a contrived name. That is it seems to have been invented by the namer. This is not to imply that it has no meaning, just that it is personal, specific to the one who gave it.

There is a similar name from Quechuan culter, Tamaya, that means "in the center."

If that is not the meaning you choose to adopt, check with the one who named you. There must be a story there.