To have your Kitty approved to go into the vault a Request Mint is required. Once submitted, the team check to ensure that your Kitty is a Generation 0 for the Kitty-gen-0 vault, and that it is Generation 0 and Fast recovery on the Kitty-Gen-0-F vault.
If the Kitty belongs, the request mint will be approved and you will be issued your token.
If the Kitty is inelligible it will not be approved. The only way to get your Kitty back at that point is to call the Revoke Mint Request.
At the moment this call against the Kitty contract is failing as the CryptoKitties contract does not follow the ERC721 standard contract. This issue has been found and a patch is being added. Once released this ticket will be updated to Monitoring and we a note added to discord.