I never could stand the sound of my voice, and I really struggled to stay on key. I used to practice at home and record myself and then couldn't stand to listen to it.
Then I bought an Echoplex (this was mid-70's).
I discovered e.q. and turned all the bass up and all the highs down. The result was that it was nearly unintelligible. Still, for some reason it gave me some confidence.
A girl that used to sing with me kept encouraging me to sing. She said she liked my voice. Gradually I began gaining confidence and started being able to stand the sound of my voice.
I remember buying a new Peavey p.a. that the band used. I was really proud of it. One night another musicican came in and I asked him what it sounded like. He said "way too much bass and no highs". So I changed the e.q. Everybody started saying how much better it sounded, so, despite my own ears, I trusted them and went to the old "v" curve on my voice.
Anyway, gradually, over the years I became known as a singer--the last thing I ever expected to be. Still, you couldn't get me to sing without some reverb and a little e.q. enhancement. It's a security blanket I suppose.
Take encouragement. If you really want to sing, you can. Play the melody line with your right hand while singing it. It gets easier as you go. Don't worry about the "quality" of your voice. There are many great artists whose voices don't match the accepted norm of singers. Think Willie Nelson, Bob Dylan, Johnny Cash, Rod Stewart, Don Mason and many more.
Just some personal experiences.
DonM