I help out at a local sports club where my daughter is a squad member. If you do the same you'll recognise the situation: volunteers making the best of some difficult situations with no thanks and little support from inactive parents. Sometimes though the people who run organisations (large and small) can help themselves with a little timely communication.
Recently there has been an unexpected change in the coaching staff at our club: a key member of the team just stopped turning up. It just so happens that I know the guy and he had the good grace to come round and explain his reasons for leaving. There was nothing untoward it appeared, just one of those things. Several weeks later the club has still to make any announcement on his departure, and gossip and speculation have filled the void. It's not pleasant but it's human nature - whether it's a sports club run by volunteers or a multinational organisation, people talk.
It may well be that the poor people on the committee don't yet know how to fill the gap left by this sudden departure and don't want to announce anything until they have the answers. A logical approach but the wrong thing to do.
Bad news needs to dealt with quickly, honestly, and with authority. Say what's happened (the more detail the better), be clear about what's going to happen next (even if that is a bit of head scratching because the way forward isn't clear at all), and ask for a some consideration while things get sorted out. You can never eradicate speculation, but the less gaps there are, the more difficult it is for rumour to take hold.
That bit is easy though. The difficult part is to get into the habit of communicating promptly all the time. The people who run organisations need to earn the trust of their audience and that takes time. So start now.