"The Indian contingent was shown for hardly ten seconds in the TV coverage and the entire focus sadly was on this lady, instead of the athletes," Raja told Press Trust of India.
"She had no business to walk in with the Indian contingent and we are taking up the issue with the organisers."
However the woman's father has now come to her defence.
"My daughter Madhura was officially selected for giving a dance performance in the inaugural ceremony by show creator Danny Boyle," K Madhura told the Times of India.
"From whatever I learnt and presume that she being an Indian, the London Olympic Organising Committee might also have selected her to 'take' the team inside the stadium," he said.
"This might have hurt our team's feelings. I feel very sorry for that."
He said his daughter is expected to return to her home in Bangalore.