There was no doubt that Legolas was powerful. Aragorn, Gandalf and Legolas were the three main pillars supporting the Fellowship of the Ring. It was hard to tell who was stronger between the three of them, but Gandalf was the reincarnation of a Maia, so he was definitely the hardest to kill. However, in terms of attack power, Legolas was second to none.
Legolas was a very careful person, but he actually dared to accept Sheyan's challenge even though his archery skills were undermined by Sheyan's 'Hedgehog' title. This could only mean one of two things – either he had gone crazy, or he was confident of his victory.