This petition was rejected

The Government e-Petitions Team gave the following reason:

We can't accept petitions about appointments, which includes calling for a vote of no confidence.

We used to accept petitions that called for a vote of no confidence. However, the Petitions Committee can’t schedule votes of no confidence. This was often frustrating and disappointing for petitioners.

If you're concerned about a particular policy or decision that's the responsibility of Government or the House of Commons, you could start a petition about that.
Petitions calling for action on policy are more likely to be an effective way of achieving the change you want.