I'm trying to find any examples of beards in England during the 1680s. I know they weren't popular but that doesn't mean they didn't exist at all. A picture would be ideal, although I appreciate this is unlikely!
In 1689 Solomon Ayllon was appointed rabbi of the Spanish and Portuguese Jews in London, and as you can see in the picture on Wikipedia, he wore a beard.
(His predecessor, Jacob Abendana, who was appointed in 1680, probably did too - most religious Jews, or at least rabbis, at that time did - but I don't know of any picture of him.)