What have you been using to groom them with? There are 4 different sizes of combs for grooming a chinchilla and some that are used are not actually made for a chinchilla, but made for a cat other small critters ... some refer to it as a brush.
When grooming, where on the body of the chinchilla do you start? end?
What grooming tools (besides the comb) are you using?
How and where are you holding it when you groom your little one?
For the best results, you start grooming them at 6 to 8 weeks, so they do not get upset like they would, if you wait till they are 3+ months old.
Keep in mind, this does not feel normal to a chinchilla. They have to learn to enjoy/tolerate it, as you have to learn to do it properly. 7 week old kits are usually much more tolerant than a 7 month old chin that has never had it done, or has had it done by someone that did not know what they were doing and had no patients.
To get rid of the "turkey feathers" ... give each one a quick pull, making sure you are not also pulling the regular fur that is still attached to the chin.
OR You can trim them evenly with height of the good fur and the rest should fall out as she plays or easily come out when combed.
This is just one method ... I am sure there are others that can share their successful ways of dealing with "turkey feathers" and or other types of shedding.
Jo Ann