It sounds as if you have done everything already.
To be sure, open your Skype, and click 'tools' and then 'options'.
Click the 'video settings' tab and make sure you have 'automatically receive video from only people in my contact list' ticked.
If there is a 'test my webcam' or similar use it to test your own setup.
Click 'save' and close.
To contact your friend, if you haven't done so before, open Skype and type her Skype name in the 'search' box. It will probably be the word and number she has given you. When you find her, click 'add to my contacts' and you should be able to contact her.