Why would it be unreasonable ? 
I mean, I don't work in an industry where there are secretaries, but, in my innocence, I'd have thought it would be part of the job description to provide a cuppa for a meeting (unless in some vast organisation that has separate catering teams, but assuming not).
However, I think it's the whole being asked to make tea which seems a bit demeaning.
Eh? How is it demeaning to make someone a cup of tea??
I'd call it hospitable. Maybe friendly, or welcoming.
I doubt they would ask a man to do this.
Well, one place I go in to has a Receptionist who is a man, who always makes me a drink when I get there. Oddly, the only one the his equivalents (no I think about it) who does. The other 2 - who happen to be female - never offer. I know Receptionist and secretary and admin and PA can all be different roles, but equally what a person is called in one organisation can be different from what the same person is called elsewhere.