I'll say that it depends on your objectives. Is being perceived as a woman important to you? Will removing facial hair help to achieve your goal? What about the people you live and work with, or strangers you encounter in your daily life? Will their reaction to your appearance be important to you?
If people perceive you as male, even though you present as a woman, you can't expect everyone to treat you as a woman, for better or for worse. If you want to be seen and treated as a woman, you need to tip the scales from looking masculine to looking feminine. The tipping point won't likely be reached if facial hair is plainly visible. On the other hand, removing facial hair doesn't guarantee that you'll pass as woman either.
You need to decide where you want to be in our bi-gendered society. Frankly, it's easiest to be gendered as either a man or a woman. Falling in between can complicate your life. But there are transgender people who are happy living life between the sexes. Where you live also has a lot to do with achieving happiness.
Facial hair removal can take years and cost thousands. Evaluate your goals, your social needs, and your financial means to come to a sound decision.