Advice and suggestions welcome

Anna
My baby girl is 10 days old and I've been giving her breast milk only by nursing and sometimes with the bottle whenever I pump. She latches on perfectly and I know I have adequate supply when I'm nursing. My problem is, a few seconds or minutes after she latches she always pulls away like she lost her grip or something then gets really upset and try to latch on again. This happens all the time and I feel so bad for her because I know she wants to eat. She takes the bottle perfectly but I don't want to give her the bottle alone. Any insight, or suggestions as to what I'm doing wrong or what I'm not doing? Thanks!