The confirmation was conveyed to Cricket Australia on behalf of the committee.
Coyte, a right-handed batter and right-arm medium pace bowler, has been deemed medically unfit for the tournament and is unable to compete in the remainder of the event.
The 19-year-old Carey, who is currently an uncapped player, is a left-handed batter and right-arm medium pace bowler from Sydney.
Any injury or illness-based replacement requires a written submission to the event technical committee along with a diagnosis from a medical practitioner as to the extent of the injury or illness. Once replaced, a player may not return to the squad save as an approved subsequent replacement for another injured or ill player.
As with all players in the tournament, the eligibility of a replacement player is subject to approval by the ICC before that player can be officially added to the squad.
The women's event is currently being staged in Galle until October 1 with the semi-finals and the finals to be played before the men's semi-finals and final at R Premadasa Stadium in Colombo on October 4, 5 and 7, respectively.