It sounds as if you have done all that was required (and considerably more than most). You have written permission under the terms of the by-laws and it also sounds like you are an extremely considerate neighbour so you and your dog are fine.
It's a sad fact of strata life that there will always be someone who starts flailing accusing everyone else of all sorts of stuff when they can't get their way.
Some lawyers will nitpick and analyse fine print to the Nth degree, because that's what they're paid to do. It makes no difference to you whatsoever and they ought to be ashamed of themselves for casually causing you this distress.
Ignore this and be thankful you aren't on the EC and having to deal with Pigeon Lady on a daily basis.