Hi Mary,
In my unqualified opinion, green
wood is better than no wood at all, as it will eventually begin to break down. Here in central Texas, I've found it works best for me to bury the wood below the ground level/surface of the
land. This helps the wood store/hold moisture, which is needed for the wood to decompose & provide the benefits of a hugelkulture.
I have used, both, green & dead wood in my hugels, and have found the fresher wood beds just take longer to fully take effect, though I still plant on them immediately (if I don't, the Bermuda and crab grasses will quickly take it over). In my
experience, the green wood beds usually require some extra
irrigation during the growing season, although a thick layer of mulch on the surface helps a lot with holding water in the soil. One thing I've started doing is adding layers of fresh rabbit manure during the development of the hugel, which supplies some nitrogen to support the decomposition, and some organic matter to hold water. I also top dress the plants for the first year or two to help make up for any nitrogen being tied up with the breakdown.
Another good option is to find some wild
mushrooms and blend them up with some water and pour that on the wood (though I usually just toss the mushrooms in the bed whole).
Since I'm on the mobile site I can't tell where you live, but your
local climate (temps, humidity, precipitation, etc) will impact the speed of the wood breaking down.
Overall, I would say not to worry about it too much, as it will continue to get better every year, and the first couple of years seem to be the least effective, and need the most supplemental care.
One question is what type of wood did you use? Generally anything is fine, but some
trees like walnuts have some alleopathic tendencies, some like
black locust and Osage orange take a long time to rot, and things like juniper/cedar have antifungal properties which slow decomposition. But, eventually, everything breaks down (we just want it to happen while we're still alive to benefit from it)