Your mom probably just hates seeing her little girl growing up and wearing make up. She shouldn't have thrown it out. But you do have to live by her rules as she's the parent and what she says goes.
Don't worry you'll be 18 in no time and can wear all the make up you want. Enjoy your younger years because they go by fast.
Personally I like girls better without makeup. But that's just me. I bet you're more beautiful without it. :)