I have had asthma since I was a child.
For some, YES... colds WILL and can, trigger asthma and make it worse. Keep in mind, that also... secondary infections can occur with an Asthmatic, even via a cold, and it can develop into Bronchitis or Pneumonia. I have had both of those, developed from a simple cold.
Because I have, Asthma.
Asthma meds, keep in mind, does NOT "cure" the cold. It is for helping with the inflamed constricted airways, and to help open it up so the the person can breathe. Asthma meds are albuterol types or corticosteroid, types. Both serve different purposes, and both serve to help the person breathe... and to hopefully help control an asthma attack.
Asthma attacks, cannot be predicted. Keep an eye on her closely.
If her lips or fingernails turn blue or her chest sucks in as she breathes, or if her breathing is "shallow".... this is an ACUTE situation. And she needs to be taken to the ER.
This means, that her body is not getting enough oxygen. Not only the oxygen in her lungs... but also in her bloodstream etc.
You NEED to take her to the ER, if needed or if her symptoms gets worse. No one likes the ER. But you need to take her in if need be.
Sure, a child/baby/adult, cannot sleep... when having active asthma AND a cold. It is VERY VERY hard. And yes, there is ALSO mucus and post nasal drip etc. from the cold. Even without Asthma, a person has a hard time sleeping with a cold.
Now ALSO keep in mind, that you need to use the Asthma meds as directed. Don't just use more, because you think it will help. In some cases, a person can also overdose on the asthma inhaler, if used improperly. IF at anytime, the Asthma meds do NOT help... you need to tell the Doctor. So that another type can be used.
Each person, will respond to asthma meds, differently.
There are Asthma inhalers that are "emergency" types and those that are "maintenance" types. And often, 2 different types are used in tandem... depending on the person's acuteness of their Asthma stage.
Did the Doctor, give her any antibiotics for her cold????
And, she should be taken in for a follow-up appointment with the Doctor, as well. Because, she has Asthma and a cold illness, at the same time.
This is common, with Asthmatics.
Your daughter is now sick with a cold.
No doubt, her Asthma will be or can be, triggered.
You need to have her see a Doctor, because she has the complications of an Asthma condition.
Remember, Asthma meds, does NOT "cure" a cold.