What an excelent little tree, congratulations.
The first thing to do with it is to get it up out of the ground and into a box with well drained medium. Feed it well and in no time at all the thing will be covered in foliage. It is a shame the left trunk died, something that happens all to often with Privets unfortunately. That left trunk was the perfect continuation of the trunk line in my eye, but taper will still be easy to induce into that main trunk. I'd look at removing the left trunk from the fork and then cutting the main trunk around an inch (25mm

) above the fork and encouraging a new leader from there. One little tip with Privet is they suffer wood rot very easily if not watched. Do Not allow water to pond anywhere within the tree and also watch for fungus attack on any bare wood.
That Nebari is something to behold isn't it!! A tree well worth working on I feel.