Lets assume Winston died in early 1939 from too much wine & women. How would British politics and the war in 1940 play out?

I'm assuming here Chamberlain remains PM until the events of April/May cause him to lose power as happened historically. Who would the likely candidates for PM be and what would their likely decsions be for the remaineder of 1940.

A secondary question is, would Churchills absence cause Chamberlain to lose power sooner, or last longer?