You can use Outfit Lock Settings so that your outfit remains in place even while caring for your Cocoron.
On the [Decorate] > [Style] > [Equipped] screen, tap [Outfit Lock Settings], then tap the switch next to any item you want to lock (such as wigs, accessories, or makeup).
Locked items will not be removed while caring for your Cocoron.
You can tap the switch again to unlock the item.
※ If the switch background is green, the item is locked; if it is gray, it is unlocked.
You can also change these settings under [Menu] > [Settings] > [Style Settings].
About Outfit Lock Settings