There’s no guarantee that ANY deed poll will be accepted by any institution. That’s up to the institution in question, not the deed poll.

However, deeds poll from freedeedpoll.org.uk have a long history of being widely-accepted by the passport office, DVLA, NHS, schools, employers, virtually all high street banks (and I can help you work-around any that cause you trouble, see e.g. this blog post).

Drop me an email if there’s anything I can do to help with your name change.