"I" vs "your girl"

[Hime]

well, he likes me to say "your girl" because he sees it as me being proud to be is and as another way to show that im his, but i feel like it discounts everything else that i am. when i use your girl i dont feel like its coming from me

that and its just akward

is it something i'll get over?

Just my two cents (and I am a pretty unconventional submissive):

If that particular rule makes you feel disrespected in a not-fun way, it isn't something you should "just get used to." At least to me, BDSM is based on trust and respect, and any humiliation that happens serves to remind both partners of one's ownership of the other in a way that makes the submissive feel secure in the relationship and excited by the taboo nature of the words, not to make the submissive feel worthless or unhappy.

It's possible that your Dom likes to play with the idea of dehumanizing you in that way because to him, it is only play and not something that can really happen -- i.e., he sees you as a strong individual who won't really give up your identity, and doesn't realize that it seems more serious to you. Or maybe he thinks that you really want him to see you as *just* his submissive and nothing more. Either way, you should tell him in "time out" (my husband and I call it "amnesty") how you feel and why. A good partner (dom or not) will respect that.