The Travis frontman was performing with the band at Virgin Media's V Festival over the weekend (17-18Aug13) while the former Destiny's Child singer was the headline act on the main stage.
But he has slammed the Crazy in Love hitmaker for arriving late for her set and insisting other acts' movements backstage were restricted for an hour prior to her performance.
Healy tells British newspaper the Daily Record, "Beyonce locked down the entire backstage area for an hour. Everyone was affected. You'd ask, 'Can I just go there?' and they'd say, 'No. You can't cross this little street'.
"Everyone was just following orders from the gang. I guess that's how Americans do it but it's not how we do it in the U.K. She was headlining the main stage and was half an hour late. The whole area was cut off as if there had been a nuclear disaster."