Tom Martin, who attends college in Woolwich, said there are concerns about confrontations with the league.
"A lot of people are worried about the Muslim community and the EDL," said Martin, 26. "I think there will be repercussions."
Muslim religious groups and charities were quick to condemn the attack and urged police to calm tensions. The Muslim Council of Britain called it a "barbaric act that has no basis in Islam," adding that "no cause justifies this murder."