This comment would be more useful if you recommended such a font.
Google fonts is full of usable stuff. Just have the courage to pick something that isn't mainstream yawn-inducing boredom. The other points are almost automatically satisified. For GDPR reasons, copy the font file to your webserver (caching won't work anyways in modern browsers).
But if you really really want something safe, easy, no-thinking-required that works for almost everything, on most devices, is readable on screens, looks modern but sufficiently boring and inoffensive, has big unicode coverage: use Roboto.