It's not even clear if using Google Fonts is GDPR compliant (since you're leaking the fact that your visitor has visited your website): https://github.com/google/fonts/issues/1495
Even if you do want to use your own hand-picked font on your site, just self host it, or bundle it with something like https://fontsource.org/
They provide the tools to bundle the fonts and serve them yourself: https://fontsource.org/fonts/merriweather-sans
EDIT: The original comment mentioned "fortawesome" instead of "fontsource". I mixed up the names, my bad!