Is it wrong to say "Welcome" to a supervisor? [closed]

Today one of my supervisors incorporated stealthy and late into the shift and I saluted her with "Welcome!". My coworker implied that because she is the supervisor I should salute her with an informal "Hi!" instead. I know little about her role or what she does and definitely not my friend.

According to Cambridge English Dictionary:

welcome
exclamation

• said as a greeting to someone arriving at a place:
• Welcome - please come in.
• Welcome home/back - we've missed you!
• Welcome to Cambridge.

Was it right to say "Welcome!" to her?

If you take a look of this article about "What is the difference between greet and welcome?", you will see that welcome can also mean:

Kind reception of a guest or newcomer. (Wikidiff)

Askdifference says:

A welcome is a kind of greeting designed to introduce a person to a new place or situation, and to make them feel at ease.

So, in an environment where there is hierarchy, welcoming someone can be interpreted as a sign of superiority, even of condescending attitude. It is possible that your colleague implied that, being the boss, your supervisor is supposedly more entitled to welcome others to the area of which she is in charge. I don't know the context of your work, but your colleague probably felt you welcomed the host into their own home.

So it is better to be aware of the fact that, when you say "Welcome!" with your best intentions, some might interpret it (as your colleague seems to have done) as your assumption that you are the host, not the guest.

In a neutral context, I don't see why you shouldn't say "Welcome". If I had a conversation with my colleagues during a break at work and my boss appeared, I would say Welcome.