I am a little late on this but I want to make an input. From looking at your sketch, and the loads, you really have nothing to worry about except your wall is made of very flexible material. Theoretically, I see your concern though, and I do understand your question. Essentially, you are concerned about the horizontal effect of the vertical load on your wall. Simply divide the load by the area of the tip of the footing, assuming it it end-bearing. You will get your applied pressure. Now, to obtain the vertical component of the footing load at at the at the wall, distribute the load at approximately 45 degrees, or use the appropriate distribution curve submitted by FixedEarth. Now that you have the vertical component of the load at the wall, multiply that by the active earth pressure coefficient (Ka). If you wall is very rigid use the at-rest coefficient (Ko), but that is unlikely. See? Similar to how you calculate lateral earth pressure by first calculated the vertical load and multiplying it by the earth pressure coefficient, treat the applied vertical footign load the same.
I did not calculate the loads, but this should be a small number, and doubt it is a concern. And remember, it will just affect a localized area on the wall. Overtuning effect on the wall due to the footing load is not a concern, because the applied force on the wall due to the footing load will affect the wall almost to the bottom.
By the way, what type of wall, and what type of soil is contained behind the wall?
Just another comment based on your wording: "I have to check the capacity of a this wall due to the new loadingf". I believe it should be worded that you have to check the effect of the timber deck footing load on the retaining wall, or re-evaluate the factor of safety of the wall against overturning due to the footing load of the deck. ie. I don't believe the capacity of the wall change due to this load.
Hope this helped.