Below you will find a range of websites that provide details of music teachers throughout the uk. Please check with the individual providers regarding the vetting of the teachers (eg CRB checks)

Musicteacher.co.uk is a free service which aims to support musicians in every aspect of education and performance. Find music teachers in your area! Use the database to find a music teacher anywhere in the UK.
www.musicteachers.co.uk

Music Lessons Now! is a comprehensive listing of music tutors in the UK, Ireland, Channel Isles and the Isle of Man. The database searches allow you to find a local tutor teaching the instrument you want to learn. In addition to the 1000's of listings, MLN offers a wide variety of additional information to enhance your experience.
www.musiclessonsonline.co.uk

North Wales Music Tuition Centres offer one to one tutoring on most instruments including drumkiits, singing and music theatre. They have centres at: Rhuddlan, Colwyn Bay, and Queensferry
www.nwmtc.co.uk

The Incorporated Society of Musicians (ISM's) Register of Professional Private Music Teachers is the only regulated online list of its kind in the UK, providing a unique service to anyone looking for a private instrumental or vocal teacher. The Register is a comprehensive directory of teachers, offering a guarantee of professional status through membership of the ISM. Before being admitted to the Register, musicians must go through a stringent vetting process to demonstrate that they are professionally qualified and experienced teachers - giving you, their client, complete peace of mind.
www.ism.org