"Identity" is a very poor term, really, it's more like knowledge. Do you know you are a woman? Your gender identity is "woman." That's the idea, anyway.
I don't have a gender identity. Gender is a tool of the patriarchy and one of the main roots of women's oppression.
I Googled "list of feminine qualities". Got a shedload of results.
Words like: gentleness, empathy, sensitivity, caring, sweetness, compassion, tolerance, nurturance, deference, acquiescence, submission, yielding, receptivity, acceptance, understanding...
It's no wonder men who identify as women are raging at us. We're not being acquiescent, submissive or yielding as they have the right to expect from us wims. Though they aren't either, to be fair. Not madly feminine to tell people to suck your big lady cock.
I know I'm a woman because of my body and the way living in that body has affected my life - sexual assaults, having babies and so forth. I don't have any other route to go. Feminity is a cliché and I definitely don't see myself as having a gendered soul.
The people I am most like are my DF and one of my DBs. We're a bit eccentric, and really are very alike in our thinking. Unless I'm thinking about something that relates to my sex I don't think of myself as female or male. I'm just me.
You know nothing about feminism, do you? Women don't want to be recognized as "women". What we want, after all those centuries of oppression, is to be recognized as fully human.