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.

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.

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. Petitions calling for action on policy are more likely to be an effective way of achieving the change you want.