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(Just bring the man his honey-mustard wings and nobody gets hurt.)

TMZ digs the dirt:

UFC Hall-of-Famer Matt Hughes is at the center of a police investigation … after a female bystander told cops she suffered a broken nose when the fighter went off on another man inside an Illinois bar.

TMZ has confirmed 37-year-old Hughes was named in a police report filed in Taylor Springs, IL … stemming from an April 23 incident at a place called Trails End Bar and Grill.

According to a source who was inside the bar, Hughes got into an argument with a male bar patron … which led to some forceful shoving.

Sources tell us … the woman is alleging Hughes pushed the other man into her … and she suffered a broken nose in the collision. TMZ obtained a photo of the woman’s face taken after the incident.

Cops tell us an investigation is currently underway. Calls to Hughes have not been returned.

In 2007, Matt Hughes was sued by a former police officer named Jed Leist for putting him in a rear-naked choke, even though Leist had asked Hughes to put him in the choke for a photo. Hughes settled out of court; later that year, Leist was sentenced to 20 years in prison for completely unrelated fraud charges. Hughes is currently slated for a fight against Diego Sanchez, reportedly on September 24th in Denver.