A man called police on March 7 to say a woman had shown up on his doorstep and appeared to be injured.
She was taken to hospital where she told officers she had been knocked to the ground by a vehicle while she was riding her bike.
She said a man picked her up, took her to an SUV and threatened to sexually assault her, but ended up letting her go.
Investigators are asking anyone who may have seen a beige or gold SUV similar to a Pathfinder or a Land Rover to contact police.
The woman is in serious, but stable condition.