The transformation requires no act of will by the alpha to take effect. In 2x12 - Master Plan, Gerard Argent impaled his arm on Derek's fangs, and though Derek was forced and unwilling, Gerard still counted as being bitten. Likewise, Peter's sole intention was to murder Kate when he clawed out her throat.
If however, the transformation process does not take, it will eventually kill the victim. Derek's first love, Paige failed to transform, simply because the bite was totally fatal to her instead.
If a banshee is bitten they will neither transform nor die because they are immune. However, a bite can be used to activate the banshee's innate abilities.
Furthermore, because the transformative process changes the body, the bite can be used to exorcise the recipient of a dark kitsune's possession.
The bite has transformed several people. Scott McCall was bitten by Peter Hale in 1x01 - Wolf Moon. Jackson Whittemore was bitten by Derek Hale in the aftermath of Season 1. During Season 2, Isaac Lahey, Erica Reyes and Vernon Boyd all received the bite from Derek. In 4x03 - Muted, Liam Dunbar was bitten by Scott himself. Hayden Romero was bitten also by Scott in 5x20 - Apotheosis.
Peter Hale bit Lydia Martin, a latent banshee, in 1x11 - Formality. She neither turned or died, because as a banshee, Lydia isn't affected by supernatural forces, she is immune and she can instead access supernatural powers. Peter's true intention was to implant memories of himself in Lydia's subconscious so the devious werewolf could use Lydia as a backup plan to bring himself back to life in the event that he could be killed.
In Gerard Argent's case, because his system was filled with mountain ash, a barrier against supernatural creatures, he did not turn, rejecting the bite completely and he was incapacitated until provided with a cure.