He's a Professor at her medical faculty. That means she has to work with him to get her degree.
Maybe this is an English issue, but generally students learn from, not work with their teachers. But again, the article does not actually mention he is her professor, only that they are at the same school. We don't know that they have any interaction at this school.
She refused to do that.
The university suspended her.
Except that's not why she was suspended. They suspended her for giving an interview where she calls out the professor for volunteering to provide medical services for the IDF. Since she was leading the campus protests, this was considered targeted harassment.
The title is wrong and misleading. A more accurate title would be "University student suspended for outing a pro-Israel professor in interview", but i guess truth doesn't get clicks.