Do give little Gwen time to grieve.
It is very good that you are spending lots of time talking with her every day.
To build your budgie’s trust, sit by her cage and read, talk or sing quietly to her for a period of at least 10-15 minutes, 3 or 4 times day.
After the 2nd or 3rd day, rest your hand on the outside of the cage when you talk to her so she'll learn that your hand is safe and will not hurt her.
After a week, rest your hand inside the cage when you talk.
Don’t make sudden moves, don’t try to touch her.
Let her get used to the idea that the hand is now in her safe place and not harming her.
After 2 weeks, begin moving your hand slowly toward your budgie. If she becomes agitated, stop moving your hand and just hold very still until she calms down. When she's comfortable with your hand near her, you can offer her a bit of millet or a few seeds. In a few more days, you can begin your taming and bonding sessions.
Always work at your budgie's pace.
Move slowly and talk reassuringly and calmly to her whenever you interact with her.