Brilliant but eccentric mathematician Alan Turing and a team of code-breakers race against time to turn the tide of World War II by doing the impossible: decrypt the Nazi communications code.

I think that if he felt shame in his sexuality then it should be mentioned as a flaw, but other wise it shouldn’t.
I find the interesting part of his story being how he fought?the Nazis not bigotry.

Perhaps start the logline with an event, it could be as simple as a German victory in the war that made him need to be commissioned to crack the code. Basically use the rich tapestry of WW2 events ?to give his story a starting point/inciting incident.