Henderson, on loan at the Sky Bet Championship club from West Ham, was stretchered off inside the opening 10 minutes after an accidental collision with Forest striker Simon Cox.
The Irishman was taken to hospital where a fracture was ruled out by X-rays, but he may still need surgery and could miss up to six months - he has returned to Upton Park for further treatment.
Cherries physio Steve Hard paid tribute to the medical staff who aided Henderson in the immediate aftermath of the incident.
"When I ran on to the pitch, I knew straight away it was his shoulder and he was in agony," Hard told the Daily Echo.
"We have a signal we give to the dugout when we know it is serious and that means I need back up. Andrew Balderston, the Nottingham Forest physio, came on and helped me give him gas and air to get him settled. We couldn't put him on a stretcher until he had had some pain relief.
"The paramedics supported us and it was a good team effort. Everybody worked together to help put Stephen at ease.
"I thought the situation was dealt with very well and, under the circumstances, everything ran smoothly. I would like to thank everybody who helped."