If you have a faith or belief then I have nothing against that.
Whether that faith or belief is compatible with data protection legislation is out of my remit.
If the law does not specifically say as a faith representative that you can have access to patient records that is a reflection of the uncertainty of the society around you.
There is a strong argument to say that as an accessible service in NHS organisations that faith representatives should be seen as an extension of the care team BUT the law does not say anything for or against.
If it is not for or against then you probably have to say that access should not be allowed.
No-one wins which is unfortunate but in the UK are we a faith based or secular based society (?) and that is what will drive the final answer.