Race walker Tom Bosworth complained the food was like something out of a "sweaty school dining hall."
Great Britain's women's soccer team performed the protest against racism just before its game against Chile.
The two-time Paralympic world champion said she would submit a formal complaint to UK Athletics after the incident.
The victim is believed to be unharmed.
Skinner won a gold medal in the men's cycle team sprint and a silver in the men's sprint.
The Olympic gold medallist competes Tuesday.
The Briton is aiming for his fifth Olympic gold medal.
The middleweight boxer is the cousin of Liverpool striker Robbie Fowler.
The exclusive prints are being sold in honor of the Rio 2016 Olympics and fuse Brazilian culture with Team GB.
The Olympic heptathlon champion is concerned about the impact being in Brazil could have on a future family.
Andy Murray is expected to take part but Novak Djokovic's participation remains unknown.