Wow I feel for you, my daughter, who is now 9, would not let anyone hold her, feed her, anything except for me. My son(who is 18 now) was totally opposite, he was so laid back. However the 2nd child was sometimes so demanding of me that I was overwhelmed. I asked my doctor for advice and she said that my daughter was just more bonded to me, and felt extremely secure when I cared for her. She suggested leaving her in the care of someone else for shorter periods of time, (20 minutes) allowing someone else to feed her(I always did this when I knew she needed a bottle or to be fed) It took about a month before she would calm down, but she did build trust with her father and grandmother as well as others. It was hard on me and her father, but I just reassured him that it wasn't him that was the problem.
Goodluck, don't fret my daughter is now an unbelievable independent, confident child.