Jordon Hudson apparently thinks she's a public relations pro, as good as some of the best in the field ... but then broke down in tears on a call with reporters.

Here's the deal ... Charlotte Wilder and Madeline Hill -- hosts of "The Sports Gossip Show," which was just acquired by The Athletic -- dished on a few late-night phone calls they had with Jordon. Getty

During the call, Charlotte and Madeline say Jordon agreed with their assessment that she's Bill Belichick 's version of Tree Paine . For those of you who don't know, Tree is Taylor Swift's PR point person -- highly regarded and respected in her field.

Jordon allegedly told these reporters that's exactly what she is to Belichick ... helping out his image on social media -- and, she claims, everyone loved his online

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