Agree with scoobydrew. If the conditions were not safe, your dive operator would not be diving that area and would have moved their boat(s) around to a lee shore. If the wind is blowing from NE, the conditions on the west wall should be pretty calm, even if the shore dive sites are blown out. However, if Eastenddiver was there yesterday and conditions were lousy, I'd give the Kittiwake a pass. It will still be there at your next trip to GC and will have more coral and sponge growth.
I have been on GC many times when the ladders were pulled out at Sunset, Turtle Reef etc. and the conditions out on the West Wall were still excellent.
If the weather is really really bad, the dive boats will all be moored south and going south.
While boat diving, If there is some surge at the surface, best to wait on the hang line until your turn to come up the ladder after the previous person is off it as you don't want someone falling back on you. When you get to the ladder always grip the lowest rung only, so that when the ladder and boat swing, you move with them. Hand up your fins, then climb up. Should be no problem, even for a newbie.
A prior responder suggested the Kittiwake was near shore, This is not the case. Out at the wall next to sand Chute.