I live in Florida and these opinions are very rare among any major city's population. In fact, I just took a group of kids to an art event at the capital and they drew (in chalk) a trans themed square on the ground just outside of one of the legislative chambers.
Please understand that the south is full of the most brutally progressive people. Everything we do is intentional and FOUGHT for. That is why our politicians try so deeply to oppress us. It's bothering them so much that it's not working.
I'm not saying this is what you did in your example, but offering advice when it's not asked for IS DEFINITELY a form of toxic masculinity. That's probably what they were referring to, however I don't know the context and I can't pass judgement.
I will say the tendency to immediately be offended if someone accuses you of something is perfectly natural, and it's an abrasive form of communication and "setting boundaries". However, a mature response is to understand they have this feeling regardless of what you've done, why not figure out why?
Sorry morning rant ๐