Well If this is a issue you might want to use my name is Carol to introduce yourself.Now you may also use I'm Carol but, that's not the right way to put it and might show that you are well bad at...
Carol is one of those names, like Jody and Leslie, that are used for both boys and girls.
Apparantley, the English meaning of the name Carol is 'Song of joy and praise'.
Song, usually denoting a hymn of praise.