Interesting, can it be self-hosted? Otherwise sharing a cookie with 3rd party seems like a pretty big security concern. Also, it will probably expire, but maybe you have a background job to refresh it...
Also on the screenshot with your profile, the bio reads "Let's replace you", maybe a different crop would be better :)
I also couldn't help but notice that it took a while for a widget to render on the page, maybe some server-side rendering or caching would be good moving forward.
Overall it's a pretty cool idea, cheers!