What does eating a banana daily do to your body? RD Jill Trotman explains. June 1, 2020 by University CommunicationsA banana is a cheap, tasty fruit and eating one a day can improve your health. But those who are allergic to ragweed should probably avoid this fruit. Jill Trotman, a registered dietitian who works at Missouri State University’s Magers Health and Wellness Center, shares with The List why this is so.