You're an actual woman so of course you are being rude. Don't you know women are supposed to be super polite, nice and chatty to every Tom, Dick or Harriet that comes within hearing distance, even if they are on a conference call and the other person has shown no desire for a warm personal greeting or a chat.
I think this responsibility resides somewhere inside the tits, though I am not sure if it's the left one, the right one or both.
Yes, I am being sarcastic.
If you are from home, you are still AT WORK.
Could one be expected to drive home from an actual office building where they work in order to walk up to the dog walker and say "hello, how are you today". No, because that would be freaking mental and would rather negate hiring the dog walker in the first place.
In an actual building designated for commercial purposes alone, how many average workers, male or female, expect the MD to come out of their office to say good morning to all workers as they arrive and have a little chat. My DH hasn't seen the person who owns his workplace for 3 years despite him having his office there.
You are not rude, you are at work.