Williamson’s crash with Dutch rider Elis Ligtlee was so serious that organisers cancelled the remainder of the events on Saturday night.
Her father Mark tweeted a picture of the sprinter giving the thumbs up and told the Eastern Daily Press that while his daughter’s chances of competing in the Rio Olympics have suffered a significant blow it is a relief that she will likely recover fully from the injuries.
“It’s certainly done her prospects no good but there’s no timeframe on the recovery period yet,” he said. “They need a correct diagnosis but it’s not looking good.
“I’ve heard it can take 12 to 16 weeks for a cracked pelvis, but I’m more concerned about her neck injuries.
“Fortunately her legs are moving so there’s no paralysis, but we were worried for a while there,” he said.
Ligtlee was also taken to hospital but was released after being checked for injuries.
Williamson secured a bronze medal in the team sprint at the 2013 World Championships, partnered with Becky James.