This is indeed serious. Before long, you won't have any feathers at all. And without feathers, you won't be able to fly.
10 seconds sound clip from The New Adventures of Winnie the Pooh - My Hero / Owl Feathers (S1E18).
You can hear this line at 00:14:01.240 in the Blu-ray version of the TV Series.
Quote context
[...]
- Maybe we can put them back where they belong.
- It doesn't look quite right to me.
- I'm afraid so many feathers falling out can only mean one thing: Owl's going bald.
- Me? Going bald? Horse feathers!
- Not fly? Nonsense! I can fly perfectly.
- You crashed perfectly. Remember?
- Well, yes. Oh, my, you're right.
- Oh, don't be riduckurous. We're talking feathers, not ducks.
- Yeah. Why is it always the good ones who lose their feather so young?
[...]