If TM stays, which does seem extraordinary, I think she should remind the country that the referendum was advisory, remind leavers that their margin of victory was tiny and the voices of remain voters must be listened to, and remind remainers that the leave vote was first past the post and the wishes of those voters must be given full weight. Then as has been said by many, set up a true cross party working group, on which she has no seat herself, to report conclusively within 9 months. Something like that, but certainly dial down the Leave expectations of having everything their own way.