If bitcoin price collapses to say ~$3000 we could see a significant portion of miners give up. This would increase the block time, which in turn increases the adjustment period (which happens every 2016 blocks, ~2 weeks at 10min/block).
An extended period of time with very long block times could cause the price to collapse even further, causing even more miners to leave...
I think there will be some determined miners willing to mine at a huge loss (due to having large bitcoin reserves) so the difficulty will eventually drop down, but there could be months of barely moving bitcoin which on top of the huge crash in the market right now could kill off bitcoin for good