Additionally, while your elected representatives are elected by a vote of the people, this is not an elected position. This is ostensibly a city employee who is also a lobbyist for gun control, and not just any gun control measures, but fairly strict ones aimed at legal ownership rather than illegal possession.
Certainly in a representative republic your tax dollars will be used to support programs you may oppose; but in a representative republic it is also your right to make that complaint to your representative and to replace said representative if they won't work with you.
So, yes, it is an issue. Not the only issue by far; but we should understand the process by which organizations can and do use our own money against us (CDC-funded studies of gun control being a great example of this until Congress put a halt to it).