This would unsettle me too, Rainbow, especially because it wasn't just 'hello' but such a warm and personal comment.
I always see the people before and after me (though I look away so I don't actually 'see') but thinking about it, I realise that T never talks once she's opened the door to let someone out. I often hear the client saying 'see you next week' or something, but don't hear T reply- I guess she's already said her goodbyes before she opened the door. I once blurted out 'I love you' when she'd already opened the door, and she mouthed 'I feel a lot of love for you too' from behind the door.
Generally I do try to be mindful of not upsetting other clients, because I know how upset I get myself. A few weeks ago T had made me a hot drink and I hadn't had time to drink it. I asked her whether I could finish it in the waiting room or whether that would upset someone (because T doesn't offer people drinks, and I would feel very hurt if I saw someone with a special drink from her). But she said it wouldn't bother them.
Ugh, these complicated feelings for T's clients and family can be so tough, I know

It sounds like you are doing so well in your therapy though