So I am headed to Mexico for work in about 2 weeks and I am a bit nervous.  I have never been and I am not sure what to expect.
I think that it's completely normal to feel that way for such a long distance trip. I assume you're going from America. I bet you would feel better by doing a bit of research!
I have been researching a bit.  Every time I do, I end up looking up information about drug cartels and other scary stuff
I think those are just outliers, you'll find that there are plenty of well established tourist areas that will accommodate you well. Just don't focus on the negatives!