Okay kiddo, let's imagine we're listening to a band play music. We can hear all the different instruments, like the guitar and the drums, each making their own sounds. Now, when we listen really carefully, we might notice that the sounds aren't always perfect - sometimes they might wobble or change a little bit.
The same thing happens with light. You know how light is made up of different colors, like a rainbow? Well, each of those colors is actually a slightly different sound wave, just like the different instruments in a band. And just like with the band, sometimes those sound waves can wobble or change a little bit.
This wobbling or changing of the sound waves in light is what we call "spectral linewidth". It's kind of like if the band was playing a really steady note, but suddenly the guitar started sounding a little bit sharp or flat. That would change the quality of the sound, just like spectral linewidth changes the quality of light.
Scientists and engineers care a lot about spectral linewidth because it can affect things like how accurate our measurements are, or how well lasers work. So just like the band members need to make sure they're playing in tune, scientists need to make sure they're working with light that has a nice, steady spectral linewidth.