Taylor developed what has been termed a "love-hate relationship" with Bill Parcells who was the team's defensive coordinator when he was drafted, and would later become their head coach. Parcells often rode players in the hopes of driving them to better performance. Taylor did not appreciate this approach, and early on told Parcells, "I've had enough. You either cut me or trade me but get the fuck off my back." Parcells kept on Taylor, but privately told some veterans, "I like that LT. That motherfucker's got a mean streak."