I would have thought that there could be a concern on whether it will affect the wall itself. But if the wall belongs to you, then the council won't see it as a problem. At approximately 6m from your house, (and using Pythagoras theorem to calculate the distance to the properties either side, note the distance probably to be around 8m), I would be more concerned about the extent of the root system. Foundations should be at distance of at least half the height of the mature tree, (which for a horse chestnut is about 20m). So it needs to be 10m at least from the house foundations, if you are going to let it grow.
I would say therefore, it needs cutting - either down or keeping tabs on its height, otherwise it could damage the foundations or your house, and others.
Many years ago a friend was walking with her two children. A Horse Chestnut fell just behind them. Something I remember to this day. Large trees are for the experts.
I also know someone who spent weeks in hospital after trying to saw a branch on an apple tree. It can look like an easy job just to take out a branch but when it drops and crushes your shoulder the weight is sadly realised.
I have worked as a Gardener for 24 years. My latest garden is a new build garden on heavy clay.
It can depend on the soil. We have mature horse chestnuts everywhere around here [one of our most common trees] and often within thirty feet of houses . Solid clay that doesn't dry out though, which makes it easier. There's a house along the road from me which has one, plus a Scots pine, and a beech - all next to each other in the front garden, all mature and no problem. The prevailing wind would mean the [large] house would be flattened if they all went.
Worth consulting someone though, to get suitable advice for your location.
It's a place where beautiful isn't enough of a word....
I live in west central Scotland - not where that photo is...
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At approximately 6m from your house, (and using Pythagoras theorem to calculate the distance to the properties either side, note the distance probably to be around 8m), I would be more concerned about the extent of the root system. Foundations should be at distance of at least half the height of the mature tree, (which for a horse chestnut is about 20m). So it needs to be 10m at least from the house foundations, if you are going to let it grow.
I would say therefore, it needs cutting - either down or keeping tabs on its height, otherwise it could damage the foundations or your house, and others.
I also know someone who spent weeks in hospital after trying to saw a branch on an apple tree. It can look like an easy job just to take out a branch but when it drops and crushes your shoulder the weight is sadly realised.
"Have nothing in your garden that you don't know to be useful, or believe to be beautiful."
There's a house along the road from me which has one, plus a Scots pine, and a beech - all next to each other in the front garden, all mature and no problem. The prevailing wind would mean the [large] house would be flattened if they all went.
Worth consulting someone though, to get suitable advice for your location.
I live in west central Scotland - not where that photo is...