Okay so my daughter has had this persistent cough for almost 2 weeks now we took her in to her…

Okay so my daughter has had this persistent cough for almost 2 weeks now we took her in to her pediatrician and he said that it’s not mucus that’s it’s just saliva accumulating and going thru a different wind pipe but yet her breathing sounds hoarsed and she keeps coughing and mucus came out with a little bit of blood like what is going on here? Is there any good doctors out there.. like could he have misdiagnosed he didn’t even prescribe anything and now I’m scared it’ll worsen .. or possibly become pneumonia.. now I have been treating her with some cough pediatric medicine which has helped but she doesn’t get any better.. I’m so upset ....