The receptionist at the entrance to our office never looks up when I walk past her, either on my way in or out.
For awhile, I would still say "Hi, [Name]" the first time I saw her each day. She would then look up and say "Hello" back. Eventually, I got tired of this. I began to feel like she was clearly trying to avoid me, like I was forcing her to acknowledge me, and overall like I was being a cad.
Lately, I have settled into the habit of walking right past without even looking at her, let alone saying hello. I haven't greeted her in weeks, despite walking by her several times every day. Is this rude of me? It feels unnatural to me, but at the same time, it feels "better" than when I would initiate what felt like an unwelcome greeting.