Thank you! I looked up acacia, apparently it is often called cassie (not to be confused with cassia) in perfumes. I learned that mimosa seems to be an almost identical substitute for acacia. The scent is described as "fresh, spicy, and sweet" which sounds about right to me. It is also described as smelling like violet leaf.
I think you are right about "shittar" being the wood of the acacia tree. I can just imagine someone asking me what heavenly fragrance I am wearing, and myself replying, "shittar!" LOL.