The funny thing about the medical community trying to monopolize the use of the term "doctor" is that physicians are rarely actually doctors themselves. While MD programs require a bachelor degree and certain prerequisite course work, the MD is the first degree someone can earn in medicine. Traditionally, the first earned medical degrees were bachelor degrees (MBBS) and that's a more honest way of doing things. Same thing with the JD (law). It's a renamed LLB undergraduate degree rather than a real doctorate.

So congrats on actually being a doctor.