As I waited for my queue at the dentist's

[Bassim]

I am wondering if my sentence sounds natural.

As I waited for my queue at the dentist's, I heard a shriek behind the closed doors of the consulting room and my teeth started chattering.

 

[SoothingDave]

You don't wait for a queue. You were waiting for your appointment.

In AmE, you'd just hear "at the dentist."

 

[teechar]

Use "appointment" instead of "queue".

 

[Bassim]

I will repeat my sentence just as an exercise:

As I waited for my appointment at the dentist, I heard a shriek behind the closed door of the consulting room and my teeth started chattering.

 

[Rover_KE]

I preferred at the dentist's (as you wrote in post #1).

Note that in other contexts we say 'As I waited in the queue (AmE in line) at the bus stop ...'; 'As I waited for my turn at the supermarket checkout ...'