What is Dodginess?
1.
disreputability, tendency towards the dishonest, state of doubtful authentification
She (von Speyr) had a long series of visions into saints' lives (eternalised as the "Book of All Hallows") which reads like so many school reports and has a tendency towards theological dodginess.
See
2.
Up to no good, may include sexual antics.
two people and a bed, trying to have fun sex!