Do it.
If you look at my signature below and look at that link, you'll see some pictures of a hugel I built in an area with heavy clay soil. Everything I used was fresh cuttings from the trees. It'll probably use up some nitrogen to help start the process of breaking down the wood, but it wasn't enough to concern me. You can sow some nitrogen fixing cover crops on the hugel to help provide nitrogen for the process.
I would do it for sure, even if the pile soaks up a lot of nitrogen for the first year or so, eventually it's going to become a thriving mound that'll provide life for many many years.