Will my health insurance cover EMDR

If your policy covers counselling and psychotherapy it's likely that will include EMDR as this is a National Institute for Health and Care Excellence (NICE) approved therapy.

I am registered as a provider with:

Axa

Bupa EAP

Cigna

ComPsych

Vitality

WPA

Many other providers will allow you to select your therapist and have them added to their register of providers.