It is the opposite of ‘feminist’.
While she is ‘doing what she wants’, she is also rejecting everything about her that is female, including demanding that people even remove the language needed for female people to describe themselves which is harmful
to women and girls, and removing any achievements of female people. Worse it adds another layer of oppression onto female people. Rejecting being female doesn’t help anyone in the long run, not the person doing this and certainly not female people collectively.
And liberating female people from oppression collectively is what feminism is about.
What she is doing is purely focused on herself as an individual. It is individualism not collectivism. Feminism is focusing on the collective.
By rejecting that she is female, she is also adding to the social and professional burden of many people by demanding they act as if her belief is based in reality. When it is the opposite but now anyone who doesn’t act in compliance to that belief can be censured, even to the point of losing their job. When people talk about the narcissism of these gender identities, this is what they refer too.
So now you have an individual who rather than working to progress female people is working at erasing the very language needed to protect female people after all, if you cannot use the word women, female, mother or girl with precision and clarity, it is harder to protect that group of people.
Feminists didn’t deny they were women, they also didn’t fight to be treated as if they were male people. Feminists fought for equal opportunity. They fought so that female people had the opportunities that a male person had while acknowledging that they had a female body.
A great example of this is Quinn. Now you have female sporting great such as Quinn who isn’t discussed as being a great female footballer. Quinn is a great non-binary footballer. One who happens to qualify for playing female football but cannot be described as ‘female’.
Of course, if Quinn wanted to join a team of male footballers who were also non-binary, she wouldn’t be selected because the male footballers are all quicker and more powerful with the same skill level. This is what we see in the non-binary athletics categories. It is only the male non-binary people winning. So, what has Quinn achieved collectively for female people if history cannot describe Quinn as an exceptional female athlete?
For herself as an individual, sure Quinn is being selected for teams and winning awards. She is also able to do that because other female people fought hard to get her that right. To be recognised as a great non-binary footballer, Quinn though has to be measured against the very binary she is rejecting.
How is this progressive? How is this coherent?
So no. Your acquaintance is not a feminist at all. Unless you only believe feminists are about having the freedom to do what you want.