As has noted, the term ' tender' as properly used in naval architecture strictly applies to the stability of the boat. But colloquially, people will also apply the terms stiff or tender to how easily a boat heels.
In yacht design, stiffness generally is applied to form stability. Form stability refers to the stability that comes from the movement of the center of buoyancy due to heeling. You can visualize form stability by thinking of a sealed tube with the same weight and length as a wide plank. If you rotate the tube on its long axis, the center of buoyancy does not movement. But if you rotate the plank the same angle one edge of the plank is pushed deeper in the water and the other edge lifts out of the water. As that happens, the center of buoyancy moves towards the deeper side, and since the center of gravity does not move the lever arm between the center of buoyancy and gravity increases and develops more stability on theplank, while the lever arm does not change on the cylinder.
Pretty much all boats fall in a zone between the plank and the cylinder. Boats that are closer to the cylinder are tender, while boats that are closer to the plank are stiffer.
Whether a boat is stiff or tender impacts a lot about the behavior of the boat. As broad generalities:
A stiffer boat can use its stability to carry more sail area relative to drag and displacement to improve light air performance.
A stiffer boat can carry more sail area in a building breeze and so don't need to be reefed as soon.
The generality easier driven hull form of a stiffer hull form helps them in heavy conditions.
The stiffer boat will tend to heel in phase with wave face. In a short chop that means that it rolls faster but through a smaller angle. A more tender boat tends to be out of phase with the wave train. That means it rolls more slowly through a wider angle, and with more abrupt stops at the ends of the rolls.
The reality is that a tender boat tends to be sailed at steeper heel angles which is harder on a crew, but that is a little offset by the slower motion. Tender boats tend to be less forgiving in changeable conditions, and tend to develop more weather helm. But the extent of whether that is true is influenced heavily by the rest of design of the rig, hull shape, keel, rudder, weight and buoyancy distribution, and so on.
Jeff