RE: Do you think this shot is fatal?
Sounds like that 'unusually loud' thwack was a shoulder (scapula) hit. After that your arrow may have changed direction either up or down the white hair had to come from the belly or the throat. If the pink tissue is lungs that deer is dead. But with only one lung hit she could go far. You did the right thing not pushing her.
What pound pull is your bow?
Go get her in the morning, good luck.