My dad was talking to me about singing through the nose, and it reminded me of what you said. He said that people like to sing through their nose because you get the best resonance and feedback that way. But a good singer trusts their pitch, even if they can't hear themselves. Which is why you'll find more egotists than perfectionists in my high school's chorus.

The best singers tend to be comfortable with whatever they're singing. And I'd bet that if you sang to someone who loves you... how could they not like it? And hearing positive things from someone you love does wonders to a person's confidence. I'd say go for it.