Can I piggy back on this thread to avoid starting a new one.

I am FB Platinum, having taken advantage of the status match offered to people following the BA status meltdown. As such I am interested in flights from BRS or EXT, which are far more convenient than LHR of LGW. I was looking at flights to DPS, but some only have a 60 minute connection time in AMS. What is the KLM policy on re-booking people who miss their connection. For example if I miss the 8:50pm flight would they consider re-booking me onto the 9:50pm Emirates flight, an early morning departure the following day, or would I have to wait until the next KLM flight the following evening?