One embodiment of the apparatus comprises a housing (28) with a sheath portion (26 146) projecting distally therefrom. The sheath portion has a sheath with a lumen and a bearing surface (172) in the sheath lumen or aligned with the sheath lumen and located at or near a distal end of the sheath. The implant (10) is at least partially positioned in the apparatus and comprises an implant body (12) and a tether (14) connected to the implant body. The tether extends from the implant body distally within the sheath portion and around the bearing surface where the tether changes direction and extends back proximally from the bearing surface along and within the sheath portion. The apparatus is configured to move the first tether portion proximally and thereby draw the implant body distally along and within the sheath lumen.