Yes and no.
I'm not nervous about the fact that I draw. My family has always supported the art aspect. However...I know that they won't like the violence, or some of the fantasy elements I incorporate.
My family is extremely religious. I'm also religious, but can separate entertainment and fiction from reality. My parents however do not. They want me to be making religious comics. I don't, because I find that to be pandering.
I would rather my every day actions reflect my beliefs. Not just make a bunch of preachy comics or entertainment that only one group of people can enjoy.
Yet. That all said, when it comes to my parents, I have an extremely difficult time making that sentiment clear. But I won't stop making the story I want to tell. They don't have to like it. Or even read it.
But. At least my wife loves my work. She's been the biggest source of encouragement. She helped me overcome the fear I had of what my family would think of me and my creative endeavors.