A new board formed after the suspension of RFEF President Luis Rubiales by FIFA over the allegedly unsolicited kiss during the World Cup victory celebration two weeks ago has agreed to terminate the contract of Vilda, considered a close ally of Rubiales, the source said.
In a statement that did not mention Hermoso, Rubiales or the scandal, the RFEF thanked 42-year-old Vilda for his "extraordinary sporting legacy.
"The coach has been key to the remarkable growth of women's football and leaves Spain as world champions and second in the FIFA rankings," the RFEF statement said.
The furore involving Rubiales has quickly spiralled into a national debate over women's rights and sexist behaviour.
Considered a close ally of Rubiales, Vilda had been under fire since last year after 15 players staged a mutiny calling for his resignation because of his inadequate coaching methods and calling for conditions to match those of the men's squad.
Most of the players involved were cut out of the squad even as some demands were met.
Danae Boronat, a sports presenter who interviewed Spain's leading female players for her book “Don’t Call Them Girls, Call Them Footballers”, said players accused Vilda of micromanaging, such as instructing senior players what to say in interviews.
Vilda and Luis de La Fuente, the men's national team manager, applauded Rubiales when he refused to resign on August 25th but later issued statements condemning his behaviour.