You could stake it and you could cut off the overly long branch which juts out to the side.

And if you have deer in the area, protect it.

Well apparently deer are a problem aren't they :(
Honesty this one is so close to the house I thought they would leave it alone. Clearly erroneous thinking. Sounds like we have one vote for trim it up and try to save it. I'm guessing with the root damage it will probably need some watering in the summer?

So I've been trying to think of what might make for a good deer protection for my trees. I'm thinking maybe if I drive three mettle posts around the tree maybe that would be enough to protect from any future attacks. I assume deer aren't really know for attacking fence posts in this way. Does that seem like a reasonable approach?

No, that will not work, and houses do not scare deer. Search the forums for "deer" and you will see all manner of high fences and electric fences described. One option is to hope the tree outgrows the deer in 5 or 10 years, and do all your picking from a ladder. This requires full, standard-size trees, not dwarfs. Dogs will also work.

Knowing what I know now, I'd replace it with a variety you want more than what's in there. I have no doubt you can save it. It will probably look a little funky and take even longer to fruit but the fact that you would rather have a true self fruitful variety in there says to me replace it. FWIW, 2 years in the ground probably isn't long enough to see the first fruits. I have plum and pluots that started to fruit at year 2 and some 3, some even 4.

If it was mine I'd keep it, cut the upward branch right by the crutch next spring and perhaps the following spring the one going sideways. Seems you've got allot of room...the more the merrier for good pollination and more fruit for you and wild life...3 stakes work but you need to put a wire mesh around ....I use farm fencing or stucco wire. It's a real battle getting your fruit trees established over many years until trunk is large so a bite from a animal/critter won't ruin the whole tree. You should also stake it for a couple of years. Self pollinating, European plums like Mt. Royal would be a good Joyce I think...but there are many others.

Thanks for all the input everyone, definitely some good feedback here. So it seems like my options are something like:

1. Try to save this tree and see if it decides to be self fertile after a few years.

2. Try to save this tree and put in a compatible pollinator (superior or toka). And then if this one doesn't make it get yet a third tree to pollinate the 2nd one.

3. Forget this one and replace it with a European plumb or Santa Rosa or some other self fruitful variety this spring.

4. Try to save this one, and also get something else self pollinating and hope this one decides to be self pollinating too.

As far as pollination goes with this one it's really hard to make the call. Like Konrad its hasn't been in the ground long. But to further complicate matters it's been bit by frost both years after it bloomed. Though I did try to cover it when that happened, covering worked for the peach but this plumb did nothing.

I like the idea of one of the European plumbs that blooms later Maybe that would reduce the risk of getting bit by frost. Taking option four seems appealing though it could still lead to needing a third tree later. Definitely a lot to think about. Thanks everyone for the input. Luckily I have several months to think it over. I did go out and try the broken branches back, so the tree is now groomed if I do try to save it.

If there are deer in the vicinity, then at the very least you will need to cage the trees while they are very young and vulnerable to damage. As the trees grow and mature, they become less attractive and therefore susceptible to damage but you will still need to protect them if you want to harvest any fruit ;-)

And it is a plum tree - 'plumb' is to determine verticality with a lead weight or the act of installing plumbing (pipes and fixtures).