I understand what you're saying. You really need to learn to play, spend more time and enjoy your baby. If you are unsure of your self and wondering if your baby loves you throw, that out of your mind. Your baby can sense insecurity and will withdraw from you more. You baby seems to like the more confident baby sitter who knows how to handle him/her.
Relax your baby will learn to love you. Give your baby lots of time love and fun.
Give the baby sitter a break, look after the baby yourself for a few days. You will bond better.
Hold the baby close to you.. its your heart beat that the baby heard for along time.
Go enjoy yourself with your baby. The very fact that you asked the question shows you care.
You can do it lady...chill out.