The 'right teacher' means the only teacher available
Finding the right teacher is more about finding the only teacher available right now. We are romanticizing the idea that your average school or agency for the most part puts any real thought into who they employ. Young and good looking are usually the biggest qualifications one can have when teaching in these dime-a-dozen 30-40k a month jobs. I can't imagine schools or agencies having lengthy meetings, with teachers' CVs strewn across the table. while deliberating with real integrity about who is "right" for the job. ha ha.
In reality, and so often is the case, new teachers are typically first come first served. Then they are told they will receive no paid sick pay, lied to about their contract and its length, and told that they'll have to wait for their work permit as 'Prim' in HR is very busy. Busy doing what? Busy wondering if the school should actually get a work permit for the new teacher as they're not sure if they will leave or not and don't wanna pay the money. Either that or wondering if they should let the teacher go as they're not fit to be around the general public, let alone children. What an absolute shit show.
Mike