fonts.googleapis.com fonts.gstatic.com www.gravatar.com
This will cause some legal issue, particularly problems with the General Data Protection Regulation (GDPR). Therefore, it is problematic to activate this extension in your Joomla-App without notifying the user.
It would be fine, if you can explain some steps to prevent the requests to external sites. What is necessary to store the used google fonts on your local host?
Additionally you can see some request to www.gravatar.com to get some small pics as avatar. This should be stored locally as well.
Without this functionality, it is very risky to use this extension in the European countries.