I've never known a pediatrician to be okay with patients just showing up and we've been with 3 different offices because of moving and whatnot. I have always been told to call and if they cannot fit us in quickly and we feel it's an emergency, we are supposed to take the children to Urgent Care or the ER. BTW, two of my children have asthma too so I get the "urgency" feel on our parts but that's why there are Urgent Care clinics.
I'm glad it turned out just to be a cold.
What do I think you should do? Either be thankful they actually take you at all when you just show up or start using Urgent Care when you feel it's an emergency visit. Are you sure they are even okay with you just showing up (meaning they let all their patients do that) or are they just being nice and not saying anything and trying to accommodate the best they can?
Think about it from their perspective and that of the patients who HAVE appointments. If they have 5 people show up without calling or having appointments, what is that going to do to their schedule and the people who have appointments? I would leave a doctor's practice if he made it a habit of bumping me or making me wait for people who just walked in. I'm not trying to be unsympathetic. Like I said, two of my sons have asthma so I have been in your shoes but I took them to the clinic when we had emergencies.
I do have to agree with the other posters...your daughter's symptoms were not an emergency. I am guessing she is your first child because I know every time my first threw up or had a fever or a bad cough, I panicked. Now as a mom of 3 (soon to be 4), I know when to worry and when not to. Same thing with the asthma. If she doesn't want to eat and just wants to sleep, let her. It doesn't mean it's anything serious. Haven't you ever had a really nasty cold and just wanted to lay in bed? If she were having trouble breathing, coughing and unable to catch her breathe (even then I'd be doing a breathing treatment first and steaming up the bathroom to see if that helped), wheezing (whistling sound), or look at her stomach/ribs. If her stomach sinks in a lot when she is trying to breathe, that is cause for concern too but for ALL of those symptoms, again, Urgent Care is where I'd be going...not my pediatrician.