A lot of people seem to think Doug and Peg voting out Shai was a mistake but I don't think so. Clearly Leliani and Tinueke were pissed at Laurence and Shai and they were unlikely to work with Doug and Peg moving forward by association. By voting off Shai, Doug has shown that he wasn't with those 2 and he's kept Nathan in the game which will give him more options moving forward.
On a personal note I thought Shai was a more interesting personality than Nathan who has given nothing other than a little bit during his letter the whole season.
Not sure what Lawrence was thinking agreeing to vote off Jess with Shai in the first place though. Shai had to make that move, but Lawrence was in a better position and could have voted off Doug and Peg back to back to weaken La Nina.