A poetic question of ethics

Just after Cleopatra had surrendered to the asp,
Her personal physician heard her give a stifled gasp.
He rushed into her chamber and assessed the situation;
From his robe he drew a flask of antivenin preparation.

With his staff he slung the snake into the corner of the room
And, hoping still to save his queen from her reptilian doom,
While praying that his potion would be equal to the task,
He knelt beside her bedside, and offered her the flask.

“Quick—take and drink,” he pleaded, “it’s the only certain cure.”
Instead she knocked the flask aside; it shattered on the floor.
Before he could obtain more antivenin, Cleo died—
So was the doctor guilty of assisted suicide?

He didn't beat her, choke her, hang her, slash her wrists, or drown her—
But then again, he didn't force the antivenin down her.