Do removed parts of a Druid’s Wild Shape form persist after said Druid exits Wild Shape?

A player wanted to use Wild Shape as an unlimited supply of feathers for our ranger to make his own arrows with and it sparked a discussion on whether or not parts of a Druid that are removed from said Druid’s Wild Shape persist after the Druid is no longer in Wild Shape.

I have been unable to find any rules that either allow or disallow this action. Whereas there are specific rules on what happens to gear the druid is wearing, I have found no statement on what happens to removed physical parts of the Wild Shape form.

I have thought of two reasonable solutions:

  1. Removed pieces of Wild Shape form persist indefinitely. This would make a Druid Indistinguishable from a normal creature until knocked out of druid form and would make the party assassin happy as he now has a reliable fresh supply of Giant venomous snake venom to apply to his daggers.

  2. Removed pieces of wild shape form persist until the Druid leaves Wild Shape. This would avoid the issues of unlimited resources, but raise other questions such as whether blood spilled by the Wild Shape also disappears or whether a creature that has “become poisoned for 1 hour” would stop being poisoned when the Druid is knocked out of that shape because the poison has dissipated with his Wild Shape.

Which (if either) of these lines up with the rules? Or does this fall under DM fiat?