Selecting a capacitor for use in feedback loop
The hazard with some ceramic capacitors are that they lose capacitance as the voltage goes up, and as the temperature goes up. Some under conditions within the data sheet T and V ratings can drop to 25% of their nominal capacitance. The worst are the very high value, so >1uF caps in small packages where you look at them and think 'how the mike did they cram all that capacity into that? The answer is, by making other compromises on the dielectric material.

Used in that C1 position, losing some C would result in the break frequency of that RC moving up from your design of 340Hz. If your stability margin is so small that you need high precision on that time constant, then I suggest you improve your margins.

I don't recall which of temperature and voltage spec designations like X7R leave underspecified, but as you have asked this question for your education, that's fine. I will simply warn you, and you can go digging for the information. You will need to dig deep. I won't say the manufacturers try to hide this stuff, but they sure don't make it easy to find. You will probably need to look in the material, rather than the capacitor, data sheets.

Amongst the main choices for materials are
NP0 - very stable, but only very low values. You might find a 1nF in that.
X7R - expect +/- 15%, only goes to mid values
X5R and Y5R - possibly -75% under some conditions, read the data sheets   for the specific capacitor value, package (yes, even the package), voltage  , manufacturer and material very carefully.

Keep your max voltage well below the rated voltage. At 1nF X7R, you should not have any problems.