We have a small evergreen tree at the bottom of our garden in one corner. One side of it has branches that currently overhang the neighbour's garden above a one-storey garden studio. She says that although it's evergreen it drops bits in her guttering, and she would like to get someone to cut it right back on her side, but obviously it's our tree so she needs to ask us first. It's going to look pretty weird shaved on one side and not the other - it really isn't a huge tree so it will look very lopsided. For that reason I asked if maybe whoever cuts it back could do our side too to even it up so it looks better. However, we haven't discussed who pays for this.
The history is that she is a strange woman. She doesn't speak at all to my DP, and didn't speak to me for years and only started when I put a note through her door at the start of the pandemic offering to get anything she needed if she was shielding - I did the same for other elderly neighbours, and she is more like 70 than 90 and in good health as far as I know but I was trying to be neighbourly. On the rare occasion my children have accidentally kicked a ball into her garden she won't throw it back, but nor will she let them come and get it - she says children are super-spreaders so only I can go and get them.
I don't want to fall out with her because unless any of us move (and we don't plan to) we are stuck with each other. What is reasonable to suggest re. the pruning of this tree? Pay half each?