Should I go to my regular doctor or a optometrist/ophthalmologist?

So lately I noticed that my eyesight is blurry. I covered my right eye and my left eye is fine. But, when I cover my left eye my right eye can only see up close, and far away objects are blurry. I recently noticed this, and it really bothers me. My mom is convinced that I should wait for my annual check up and they will recommend me. What should I do/ tell her?