This is not a hung (UK) Parliament. When Parliament meets a majority of those voting will vote for the Tory leader (although by that time PM May have stepped down).
With 649 of 650 seats declared at this juncture (10 AM BST, June 9, 2017), the Tories have 318 seats.
[. . .]
That leaves the Tory leader (Prime Minister May or her successor) with a 318 to 314 vote on a no confidence motion and a majority of 4.
QED: No hung parliament. And did I mention that DUP, on which the Tory Government is likely to depend, as a practical matter, is proBrexit. What a time to be alive!