That depends. If the tree partially on your property, then yes but your neighbor will be extremely angry and it will reduce the value of their estate immensely (I would know- it happened to me). Or you could ask... but that most likely will not work. But otherwise you cannot remove their tree.
A neighbor cannot make you cut a tree down. BUT if your tree encroaches on a neighbor's property, causes a risk to a neighbor or their property, or causes a situation that prevents a neighbor from full enjoyment of their property, the neighbor can ask a court to make you cut back the limbs that are causing problems for their property. Your rights end where the property line begins; same for your neighbor.
To make room for more cultivated crops.
Not in the UK it may be different elsewhere. In the US check with your city hall for ordinances. In my city, you can remove the part of a tree that blocks access to your property or is overhanging your roof that could cause possible damage. Make sure you return the offcuts to their owner or you could be charged with theft. The question asked about protection. These answers are about actions.
Yes. An awning may cause damage to your fence over time. If you are concerned about the installation of the awning onto your fence then you should ask the neighbor to remove it. You could even give him a time limit such as 30-60 days and offer to help.
A person with no money can have a tree which is in danger of falling on a neighbor's property by contacting the city in which they live in. They can make arrangements to remove the tree or get them in contact with a company which will donate their services.
you can make paper out of trees.
make the loadest noise you can make to disturb them
LOVE GOD AND YOUR NEIGHBOR
sometimes trees grow from other roots of trees
She is a neighbor, and she only comes randomly. You cannot make one certain neighbor come to your town.
You notify your neighbor so they can authorise a Master plumber to make repairs
You might want to check your local ordinances (laws). I am pretty sure that a tree that is planted in your neighbor's yard and overhangs into your yard can be trimmed back to the property line. It probably won't make your neighbor happy if it kills the tree though. Just be sure to check the local laws in regard to this beforehand.