The north and south pole mean nothing on a tidally locked planet. What is dominating the climate, is the sunward and antisunward pole. The farside will probably be all ice, a good deal of the dayside will be very hot (too hot for anything other than thermophiles), and a band extending from the terminator will have Earthlike temperatures.
The actual climate drivers on an Earthlike planet and a tidally locked one are similar; on a tidally locked planet the sunward point is the start of the hadley cell system, which drives air over the rest of the planet to the farside, where it condenses, falls, and flows off the icecap as cold, katabatic winds.
Earth- or any fast-rotating planet, for that matter, is like a tidally locked world on a lathe. The planet spins relative to the star, which means that the sunward point is a line rather than a single point, and the hadley cells travel only north and south, not over the planet uniformally... in the end the poles end up seeing the least solar energy so they end up being the coldest, but the situation is different from the gigantic freezing nightside cap of a tidally locked world, which sees no sunlight at all and gets what little heat it recieves from the atmospheric currents originating from the nearside.
