Aww, Freaky, you should not lose one minute of sleep over this. This definitely falls under the "proud parent" rule. If it makes you feel better, remind your parents that they can't play this for anyone who is actively employed in the music field in anyway. Then forget about it. If a second cousin of an ex-wife who worked with Aunt Jane's broker hears about it, that's called....word of mouth, "you gotta hear this kid" thing. You could even slap a "not intended for audition purposes" sticker on the CD, if that would help you feel better. Because after all, it's not. It's a gift to your parents.
Not much different, I think, then if a casual observer saw your law degree diploma on their den wall, and said, "Oh, I need a new attorney." You were not soliciting their services actively just because they found out Friend Joe and Friend Jane had an attorney daughter who gosh darn it, sounded just the thing.
This is in the same line as me dragging along a DVD of my daughters' last performance to Grandma's house and when conversation takes a lull, popping it in. Music, however, would be much nicer.
I do admire your adherence to the discipline, however, and I think that will come across quickly to anyone who talks to you.
Also, I've seen enough examples of dancers who came late into the field but had enough natural talent to hold their own with the "I've been in classes since age 3" crowd. Rare, but definitely there. More so with male dancers, who don't have the pointe issues, but some female dancers as well. I can't help but think the same must be true with music and other arts as well.