Right now, I see the gynecologist once a month for my health condition.

The doctor is very famous, so it always takes a long wait for my turntime to reserve an appointment with him.

To speed up the waiting process, the nurse will let the next patient enter the clinic room to wait while the current consultation is still ongoing.

PThis is probably not very privatea private way to resolve the waiting process, but no one complains about it.

The dialogue is always something like this: ¶
Patient:usually goes like this.¶
The patient states, "Doctor, I feel very dry and hot recently."

Doctor: The doctor replies,"That's because the weather ishas been hotter recently. Turn on your air conditioning."

Turn your air conditioning colder."

I combined it with the previous sentence.

I think the doctor has his own dry wit.

When we're sick, we become very paranoid, but. Since he has seen so many similar cases that he just, he answers as if he's brushing off dust from a table.

The doctor is very famous, so itI always takes a long waithave to wait long for my turn.

To speed uphorten the waiting, the nurse will let the next patient enter the clinic room to wait while the current consultation is still ongoing.

Whilen I sit oin the chairlinic room waiting for my consultation, I inevitably hear the conversation between the doctor and the former patient before me.

The dialogue is always something like this: ¶
¶
Patient: "Doctor, I feel very dry and hot recently."

Doctor: "That's because the weather is getting hotter recently.

Turn up your air conditioning colder."

When we're sick, we become very paranoid, but he has seen so many similar cases that he just answers as ifthough he's brushing off dust from a table.

Right now I see the gynecologist once a month for mya health condition.

“My” is correct if your readers already know about the condition.

When I sit on the chair waiting for my consultation, I inevitably hear the conversation between the doctor and the formerprevious patient.

A “former patient” is someone who has ceased to be a patient—who doesn’t go to this doctor anymore, for example.

The doctor is very famous, so it is always takes a long wait for my turn.

or "so it always takes a long time"

To speed speed up the waitingprocess, the nurse will let the next patient enter the clinic room to wait while the current consultation is still ongoing.

Or "To reduce the wait times". You can't make waiting go faster - it takes however long it takes. You can make it take less time by speeding up the doctor but you cannot speed up the waiting - you cannot "wait faster" etc (hope that makes sense).