Living in NYC apartments is a pain I have to say. What your neighbor should have done was to knock on your door and speak to you directly before escalate this to the management, that should be the normal way right? But unfortunately NYC neighbors usually don’t give a damn. There’s no such thing called manner or respect so don’t have your hope high living here. Pretty much all building managements are irresponsible and sluggish too. Each building has its rules, including noises. Review it and make sure to stick to it first. I know neighbors complain about little kids running around above them and the management forced that family to carpet 80% of their common areas, if even they prefer hardwood floors. Once the bridge is burned it’s burned. You will be stigmatized by that old lady, however, maybe a friendly approach would calm the situation down. Won’t hurt to try right? I’m battling with a chain smoking neighbor and a noisy stomping upstair neighbor. Honestly I hate them so much that I just can’t give any damn. Maybe the old lady is similar to me in this situation and I am in my 30s. Imagine at her age. Bring some cookies and pizza. See her like your grandma. If she doesn’t buy it then you have nothing to lose. But, you need to make sure to bring the noise down. That’s the only way.