The interesting question is :If he has committed offences in, or triable in, this country but they cannot be tried because the evidence to try him is, or may be, inadmissible, because it was obtained by torture, how is it he can be tried in Jordan, and on what charges? (I can see that trying him here for entering on a false passport, hardly satisfies!)
At the time of its passing, I don't think any lawyer here thought that the Human Rights Act added to , or changed anything in, the existing common law and statutory rights in the UK. It was merely declaratory. Cynics could see that lawyers could make a happy living taking bad points under it, to no avail, and thereby increasing litigation. Let us, therefore, say it is merely declaratory of our existing rights, and let the judgment and action in cases such as this one be dependent only on what our courts, up to the Supreme Court decide.
(I think he will be deported anyway, on that basis)