Walt Disney World resort is currently closed due to the ongoing coronavirus pandemic. While Disney was at first optimistic announcing they were only going to close until the end of March, the way the virus has been spreading people quickly came to the realisation that just wasn't going to happen.
Walt Disney World is now closed "until further notice".
However, it appears Disney might be silently aiming to reopen around June 1st, because you can no longer make dining reservations at any resort of theme park during April or May, but can starting June 1st. Of course, if they're doing a gradual reopen earlier than that, they likely already have all the demand they can handle for April & May, so we'll have to wait and see.