Neither player can destroy Set Spell and Trap Cards on the field until your opponent's next End Phase.
Rulings
Individual Card FAQs
While the effect of "Timidity" is active, all effects of a card which would destroy a Set Spell or Trap Card are negated.
While the effect of "Timidity" is active, you cannot destroy a face-down Monster Card equipped to "Relinquished".
While the effect of "Timidity" is active, and your opponent activates "Heavy Storm", face-down Spell and Trap Cards are not destroyed but face-up cards will be.
Netrep Rulings
The effect of “Timidity” applies until the beginning of the opponent's End Phase.
Spell|
Normal