Are dr's really that smart?

So I'm going to rant right now, bare with me.
Tuesday morning Ellie woke up with a fever of about 103 according to my thermometer that we do in the ear. I'm sure its off a little, but she was hot! I gave her some IBprofen and just let her lay around. She was miserable. I took her to the Dr in RockValley after canceling her appt in sioux falls with the pediatrician (dumb I know). The Dr in RV checked her out and did a urine test cause she had a tummy ache and fever but no other symptoms. He diagnosed her with a bladder infection based on her urine test coming back abnormal ( she had nothing to eat or drink at all) and she was a bit dehydrated. We went home after picking up her antibiotics. I proceeded to give her the recommended dose as well as some water, to which Ellie immediately threw up!. I called the Dr to see if I should give her more med or just wait. Ellie continued to throw up any amount of water she had. Long story short, we headed back to the Dr later cause Ellie had a constant fever despite tylenol and ibprofen. They then said she had the flu on top of the already diagnosed bladder infection( she has no symptoms of this). So we went home with NO answers and me being frustrated. So I ask you, Do Dr know what they are doing or do they just get gobbs of money for each antibiotic they dole out? I know some are very good at what they do and love their jobs, but seriously, my daughter has NO symptoms of a bladder infection so you diagnose her with that and tell me its all good? I don't believe you nor do I trust you anymore!! I will give Ellie the antibiotics just in case, but honestly I don't like pumping my child full of drugs that may not be necessary! Thank you and come again!