The council said she was a key part of the institution and would not be removed from her position.
Members of the council, led by chairperson Nomarashiya Caluza, said at a media briefing that Mtose had done great work improving the university and was not going anywhere.
The protest started last Monday and is likely to continue this weekend.
A mobile kitchen has been burnt and a police vehicle set alight.
One of the key demands by the students is that Mtose be removed from her position. Caluza told The Mercury that focusing on Mtose was unproductive: “Let’s say we agree and we remove Mtose, then what? The issues will remain. There are real issues of financial aid, availability of residences, safety of students, the…