Fever in Baby

Hey guys😄 my baby girl is 7 months old, and she is my first baby, and this is the first time she has gotten sick. she puked 4 times this morning. twice at 6:30am, once at 7:30am, then again at 11:30am. She had a fever of 38.0°C (oral) at 12:00pm. i gave her some medicine and it made her feel better. She hasnt puked since, and now when i put her to sleep i took her temperature again and it was 38.7°C, so i again gave her some medicine. Since this is my first baby, and she is sick for the first time ever i am really worried. Does anyone have any advice for anything? EDIT i got a rectal thermometer, and at lunch i checked, her temp is now at 38°C