Like most social networks, Mastodon is not end-to-end encrypted. If you're sending sensitive info it's better to use a separate end-to-end encrypted messaging app.
Mastodon itself warns you about this if you are sending a DM through the web interface (see the screenshot).
More info about the risks and how to mitigate them in the guide at:
➡️ https://fedi.tips/is-mastodon-end-to-end-encrypted
TL:DR - Main risk is your server admin reading your DMs, but they would need techy skills to do this.
@FediTips so, as a user, this message can be intercepted by literally anyone/thing that sticks their foot in the door?