Nice crystal! and structure!
The X-rays are not being emitted from the crystal - you use an x-ray generator to project the x-rays at the crystal. They are diffracted by the electron density around each of the atoms in the crystal.
The problem is that the signal-to-noise ratio at the detector is very low. Imagine trying to photograph people in a disco. What you would like is the equivalent of a strobe light - if you take a photograph of a disco using a strobelight, you can freeze every single person in place. However, if you use a very low power light, even though you freeze everybody in place, you can't see anything but black in the picture. You can take a much longer exposure so that your film can collect enough light to see the people, but in a disco all that would give you is a blur - you wouldn't be able to tell where any of the people are. If you tell all the people to freeze in place, you can use a very low-power light source and eventually get a long enough exposure to see them all clearly in the picture. If all the people were also identical, you could overlay every single place the person showed up in the picture, and get an even better picture with less exposure time.
That's what you are doing with a single crystal X-ray - you are using a long exposure time over a structure that has identical molecules, all frozen in the same orientation, and overlaying the diffraction patterns to identify every atom - or at least, all of the electron density, which is centered on the atoms. A blast of X-ray massive enough to act as a strobe and freeze all of the normal, disordered motion of molecules in liquids and gasses would ionize the entire lab, and probably the next two or three buildings as well.