Since Professor Smythe has been head of the department, the most distinguished member of the faculty has resigned, fewer new courses have been developed, student enrollment has dropped, and the reputation of the department has gone down.
Conclusion (conclusive evidence that)
Professor Smythe was appointed to undermine the department.
Evidence
Since Professor Smythe has been head of the department, the most distinguished faculty member has resigned, fewer new sources have been developed, student enrollment has dropped, and the reputation of the department has gone down.
Evaluate
The argument points out a bunch of bad stuff that's happened since Prof S has been head of the department and then concludes that Prof S was appointed for the purpose of making bad stuff happen.
We could say,
This is a semi-famous flaw we call Intent vs. Result (or Motive vs. Consequence).
If a comedian makes a joke and it triggers a sad memory for someone in the audience and they start crying, we can't say that the comedian intended for that person to cry.
In this case, we don't even know if all the bad things at this school are a causal result of Prof S. They might be unrelated to her.
Goal
We can object,
Or we can object,