The old woman looks up, ushers the nixi in her hut, and invites you in, all the while thanking you. What do you do?

I smile at her warmly, thinking she is a nice woman. "It's no problem ma'am "

You go in appear in a large stone chamber. There are scrolls all along the walls, and a large box and pendant on a pedestal in the center. What do you do?

(i will use your idea, just not in the way that you think ;D)

The nixi growls at you again to move aside. You see a large stick nearby. What do you do?

YOu go through and see a young girl leaning over a device, similar to the one that teleported you there. What do you do?

SHe invites you in, offering you warm shelter and food. She also offers you a egg, and a symbol of her gratitude. What do you do?

(You need to accept before I post the egg's url)

A accept the egg, cradling it to my chest.

Ask her if she's Dr time and ask her what is that device she is working on

Here is the egg:

https://www.sylestia.com/view/pets/?petid=3273622

She gives you the egg and asks you to stay over for the night. What do you do?

Girl: I assume that the Dr. Time you are looking for is my father. He passed away two years ago. I am trying to reassemble this time traveling device that I accidentally dropped. I have figured out how to change the last number, though not anything else.

What do you do?

(I underlined the hint in here. If you need another hint, let me know and I will add another one in my next reply)