It looks like it could be quaking aspen. If so, the good news is it dries fast after it is split. It likes to rot before it dries if it is not split. If you can get some of the split wood inside as suggested above, that will help a lot. If you can get it in the same room as the stove where you have some excess dry heat, even better. You might have to do some shuffling if you don't have a lot of space inside. Keep a few days worth close to the stove, keep some more in the garage or something. Move the wood towards the stove as you consume it and open up space.
This is how I shuffle it:
In the spring or early summer, I move a season's worth of wood into our carport. It is already fully seasoned when I do this, but if I had any soggy leaves make their way into the pile because I did not do a good job of covering it, this is my opportunity to get that sorted out before the winter. I also remove loose bark, leaves, dirt at this time. The main reason I do this is so I don't have to march through the snow in the winter to get wood, and then track that inside.
We have a rack inside that lasts us about 1 1/2+ weeks (depending on the outside temperature). It is 8' long and has a divider in the middle. Sometime after the shoulder season, we fill that rack. We pull from one side. When that is empty, we fill that side right away and start pulling from the other side.
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