Thats what i do with some of my ex's. i dont want people to make fun of the person i like, or spread rumors. I wanted to go little by little before we got the "official" title. We eventually got it but i just wanted to take things slow.
She is not comfortable with people knowing you guys are together. Embarrassed about being with you . You might think twice before you give too much of your self to her. I dont think its going to last. Sorry