You're obviously projecting western ideas of homosexuality onto the complex social relations within ancient Japan.
Yes, the girl is saying "I am a gay woman who is in love with you, a gay woman" but, in the context of japanese culture, youths often say this to one another to imply "you are a valued classmate, and I treasure your presence." Please educate yourself before you try to make everything, particularly art from a culture you don't understand, gay.