That’s an interesting remark. Well, my idea is that the antagonist doesn’t fit anywhere altogether. Like no matter where she is..
Can you give an example on what I could add to show the contrast?
I couldn't possibly give you an example... it's your poem. It's just that right now you're not really saying anything in particular. Saying someone doesn't belong isn't a powerful statement if you don't know
where she doesn't belong, or
why she's different. (After, "not belonging" is strongly relative to where you are-- it can't be a definitive statement about a person).
Setting up a direct contrast, though-- maybe between a real world setting and her more abstract sense of her identity-- is a satisfying story/ statement. This poem seems to be character-driven, so the character has to be interesting and has to hook the reader... your character can't just be the concept of "not belonging anywhere."
Perhaps if you wanted to write a poem just about the concept of not belonging, it would be more powerful in the first person? However, the above comments still apply... you still need a concrete setting.
A concrete setting combined with abstract ruminations is a good setting. The contrast makes it interesting. Maybe picture your character in a certain setting, spend a few sentences describing it, and then continue with the original idea, showing how being stuck in a certain concrete setting influences her to feel she doesn't belong and to seek some kind of mystical existence away from the real world.
The first line has promise-- your mention a scientific fact. So maybe a science class would be a good concrete setting? (assuming your character is on the young side?). Or maybe reading a scientific article in a magazine?