Ash Tree in Allotment Forest Garden

This is my first year gardening and so far have had mixed results, at best.  I am gardening in an allotment/community garden of about 250 square meters.  Eventually, I would like to transition the plot to a forest garden, or as close to a forest garden as allotment rules apply.  

There is volunteer ash tree in the gooseberry and raspberry patch and have been advised to remove it.  Others have told me ash is hard to kill, and must be completely dug out.  With the tree in the middle of the gooseberries I do not like that option.  I could girdle it perhaps.  Or do I even want to kill the tree?  I have also considered chop and drop.

Does an Ash tree belong in a Forest Garden, allotment or not?

We've got ash trees popping up in our fruit rows ocasionally. I found that if you get them in their first year it's possible to pull them out. After that you're into either cutting them back annually, or digging them out. The latter will of course disturb the soft fruit as well.

On the whole I am happy with a few ash tres in our land, they can be coppiced for bean poles and pea sticks etc, and they make half decent tool handles. They will grow into large trees if left unchecked, and your allotment neighbours and committee probably won't like you for that so it's important to keep on top of them.