I am based in the UK (England, more precisely). I am part of a Centre for Doctoral Training (CDT) - between University A and B. Since I am an international student, I didn't receive EPSRC funding for the CDT. I am enrolled in University A for MRes, for my PhD I am moving to University B (engineering department) and have applied for funding for 3 years of PhD, as part of Universities B's funding for international PhD students (not part of EPSRC).
However, the professor (X) I wish to do a PhD under does not fall under the CDT I'm in and is also in a different department (Physics). He is part of a different CDT.
So my question is, once I shift to Universty B and receive funding can I switch to the physics department to work with professor X? University B gives me admission only because I'm part of the first CDT and professor X is associated with another CDT. How can I work with professor X?