Yes, the generator counts. You have to sum all impedances up to the point of the fault. However, as previously mentioned, the generator and XFMR are on different power bases. This has to be resolved, whereby the Znew for G = 0.05, not 0.1. This comes from the change of base formula, Znew=Zold(Vold/Vnew)^2(Snew/Sold)=0.1(11/11)^2(25/50). Get everything in terms of the XFMR base cause it has a "let through" of 25 MVA, and the line is connected to the XFMR of the same base (i.e. Zbase=(33kV)^2/(25 MVA)).
Therefore, you have:
1pu/(0.05+0.06+0.4364) = 1.83 pu
Ifault=(1.83)(437.3866A)=800.4879A
Per the question and what's asked for, this is how you solve it (but can be solved multiple ways, I just prefer the pu method due to it being more uniform and easier to spot errors).
If I'm wrong, someone correct me; but I am confident in what's presented above. I hammered hard on fault current problems before I took the exam and feel it is one of my strongest areas.