“Rings” have always been worn by men.
The picture is of a wedding/engagement ring. Among Christians, women give men a ring as part of their sacrament of marriage, so for a Jewish man to wear such a ring would be a question of “avodah zarah.” The response is most goyim no longer see marriage as having anything to do with religion, but it would still arguably be the “dust” of “avodah zarah.” When asking a shailoh, make sure the person answering is aware of the religions significance of marriage rings among the Christians.