In her early career she was a frequent representative for France, but did not make major finals. She appeared at the Summer Olympics in 1980 and 1984, as well as the 1982 European Athletics Championships and 1983 World Championships in Athletics. Elloy began to feature more regularly in international finals from 1985 onwards. She placed fourth at the 1985 European Athletics Indoor Championships then took the silver medal in the 60 metres hurdles at the 1985 IAAF World Indoor Games held in Paris, one place ahead of fellow Frenchwoman Anne Piquereau. Outdoors that year she was the B-final winner of the 100 m hurdles at the 1985 European Cup. She improved her best to 12.79 seconds, which ranked her sixth globally in the 100 m hurdles for that year.