The ear drop complicates the wait.
Do you see flakiness or crustiness inside Dorothy’s ear(s)?
The scratching and shaking could be mites. If so, the vet will swab Dorothy’s ear to confirm and treat with miticide. Odette was treated at her first get well check. I noticed some scratching beforehand. The cost was the base price for an exam ($36 USD) and the cost of the miticide (approx. $20 USD). If you are in the US, the base price of the exam will differ but the miticide will most likely be around the same price. You can call your vet office and ask the cost of an exam so you can have some idea what to expect.
I haven’t dealt with a fungal or bacterial infection of the ear. Hopefully someone else can help you with that process. I would think they do basically the same thing– swab the ear and treat with the appropriate medicine. I think those would be ear drops. I’m not sure and hopefully someone will come and either correct me on this or corroborate.
The good thing is the quicker you treat something like this, the less difficult it will be. I wouldn’t be too concerned about waiting six days for mites. I would be a little more cautious with a bacterial or fungal infection. But, the most important thing is to get Dorothy treated before the infection gets nasty. If you can’t get the appointment moved up, just keep a close eye on her symptoms and the inside of her ear.
Update us please. Give Dorothy a nose rub from Odette. I hope she is on the mend very soon.