Possible problem with neighbours regarding bird feeding

Hello. I have a problem with neighbours who don't like that I feed birds in my backyard. They report me to Environmental Health on a yearly basis, despite the fact that the council has never taken any measure against me.

Today, there's a car from a pest control company parked in front of my neighbours' house. I don't know if they called them for the birds or some other problem, but I am worried about the birds. I live in a terraced house and the birds can end up waiting for food on my roof and the one of my neighbours.

Anyone has had a similar experience or has any idea if the pest control can harm the birds? They're mainly sparrows and starlings, a few pigeons (usually less than ten) and occasionally other small birds like tits.

Thank you in advance for any reply.