A Native American woman told me that she is not offended at being called an Indian. However, I explained to her that I use the term for precision, as I know several Indians who are racially and culturally distinct from Native Americans. I wish there were another word to describe them, since the term "Native American" also is imprecise. I'm a native, my ancestors all immigrated in the 1600s.
I adopted this term for myself 10+ years ago: Tribal Americans.
I am mostly descended from Germans (and German-Jews), but my father has a Tribal American ancestor.
Regardless, as you imply, I am a Native American since I was born here of two citizens; that is irrespective of my genotype.
P.S.
My ancestor was quite the woodsman. He once took my father hunting as a boy. About noon he looked up, said they needed to go home, and they left the mountain without further explanation. The next day the news said 11 hunters died on that mountain in a sudden, violent storm. My father was amazed by what seemed to be his magical prescience.