I'd try to hide it somewhere where I couldn't find it. It'd be somewhere I'd forget how to get to in a container that I forgot how to open.
If fear was a thing, I'd put it in an envelope and send it away. It'd be mailed out far never to return to anyone.
Luckily, fear isn't a thing. It can't be touched, held, or thrown. It exists only as a figment of my imagination.