Question Will a 1050ti be bottlenecked by a AMD Phenom II X4 965?

Its going to be an issue in most modern games, but not nearly to the point where I would recommend much else.
If you go with something like a 1030 or 1050, then you will be lacking when you eventually upgrade your processor down the line.

I ran a 965 @4.22GHz for a few years with a 760 and it handled it fine, to give you a ballpark idea.