Sandra
As others have commented, you have a good voice that just needs some fine tuning.

The first part of the process is learning the correct physical techniques to smooth out any rough spots and a vocal coach may be the best and quickest way to get that done.
There may also be useful articles and videos on the Internet.

The second part of the process is mental, building your performance confidence so that your apprehension doesn’t cause you to tense up your vocal chords and restrict your range.

One technique to try is to start each vocal session by saying to yourself :
“OK let’s have some fun with this song.

“Let’s really get into the feel of it regardless of whether it’s “Perfect” or not”,
Some times perfection can also be very boring to listen to.

“I am now going to act and sing like the singer I want to be (visualize your favorite singer) performing in a place I’ve always dreamed off.”

Really believe in the song and want to project that feeling out to the audience with your singing.
Picture yourself singing like your favorite singer on stage, with all the emotive gestures.

Smile! Play with the song, trying different presentations.
It’s all part of the “fun factor”.
It loosens you up so your technical training can shine through.

That’s one of the reasons, I believe, we all sound so good in the shower.
All that apprehension is washed away, leaving us to enjoy the process of singing.

The great singers, regardless of their voices are also great entertainers. Their voice is only part of the package.
Surprisingly, many have said that they are not immune to stage fright but they have learned to overcome it and go out there and give a great show.
The mental aspect is just as, if not more than important than their vocal ability.

Always keep in mind that unless you are recording a live club performance for your CD, you have as many takes as it takes to get it right in the studio.
And you have lots of tools to tweak them.
The best part of any take can be cut and added to another best part until you get the result you or your producer wants so that helps take some of the pressure off.

Hope you find some of this useful and look forward to hearing your CD.
Carkins