A method of tethering can comprise providing a tether deployment device. The tether deployment device can comprise an elongate shaft comprising a lumen extending from a proximal end to a side opening, an atraumatic distal effector coupled to a distal end of the elongate shaft, and a tether deployment assembly at least partially received within the lumen. The method can include advancing the distal portion of the elongate shaft into a heart chamber, positioning a distally oriented surface of the atraumatic distal effector against a first tissue area, and advancing a distal portion of the tether deployment assembly through the side opening of the shaft. A portion of at least one tether can be deployed to the target tissue area using the tether deployment assembly while the distally oriented surface of the atraumatic distal effector is against the first tissue area.