There are only a few broad reflection peaks in the spectrum. The main reflections of WO3 films are at 2 theta = 23.1, 28.7, 33.5 and 41.7 degree (Cu-radiation).
There are different ways - you could use a software like FullProf or something similar input the basic parameters (from literature of possible) and use the software to refine them. You can also use programs like Lazy Pulverix.
I would recommend using an internal standard (SiO2 or Si) to have a substance you can compare your diffraction pattern with.
If you are doing XRD on thin films there might be a chance that you get some sort of prefered orientation. What hkl-values do the reflections you observe have? You need all hkl's to calculate the lattice parameters in an orthorhombic cell.