There are several possibilities going on with your partner.
1) This person might feel like embracing a totally female persona would be extremely difficult, and have major social consequences. You mentioned not wanting to change jobs, for example. But at the same time, your partner could be transgender and trying to find creative ways to become more comfortable, but without the social consequences of a full transition.
This seems possible also because you said you don't want to be with a female, but at the same time, your partner expresses a strong desire to be with you. So, like a lot of situations in life, this person might be looking for a compromise.
2) Your partner could be in a situation similar to my own, where a lot of the cultural expressions of womanhood don't hold a lot of currency. Heck, my own mom spent most of my life wearing jeans, a t-shirt, and work boots while smoking Marlboro cigarettes. One of our main activities together was her taking me fishing. And when I wouldn't go, she would go on her own as it was her favorite activity for a few decades. I'm not saying she was unfeminine. She happened to grow up as a child of a couple of poor farmers in upstate New York and this was what she was most comfortable and happiest doing. But, like, what would constitute "dressing like a woman" in my family?
Depending on how your partner thinks about all this, they could be very happy and feel they are fully expressing womanhood amidst what other people might consider a "partial transition."
3) As the person said above, it's possible that some people want to live in the middle of gender expression. Maybe having lived for several decades as a male, this person has internalized some of those ways as their own. I would disagree, in some ways with the whole frame that this person couldn't still be "completely a woman inside" OR, for that matter, "a man inside." But then, I don't like the rather limiting frames people use to talk about all this anyways.
In the end, it's like a whole lot of things involving relationships. The only way you're going to know is ask and explore with your partner. You could explore the conversation as a "Blue Sky" for both yourself and this person. For example, what would you and what would your partner be okay with if there were no social consequences in the community for whatever chosen actions? What would you and what would your partner choose or permit if money was no object? If extended family was okay with every imaginable situation or outcome, what would you and what would your partner choose or permit?
Basically, frame the questions and the discussion to figure out WHY some objections are coming up, and which things are truly most important to your partner and yourself. Be open to discover which objections of your own might be more social than deeply personal. Basically discover out where everyone's (current) desires are, and where everyone's (current) lines are.
Once all this is known, then you two can at least understand each other.... And I am guessing your partner is in some ways thinking in terms of compromises already (as most everyone must, transgender or not). So, it's very possible that the lines where they would feel happy are compatible with where you will also feel happy. But the only way to find out for sure is to create the conversation in as open and friendly as space as possible.
Good luck! <3
--Lyra