I made a coworker cry last night
Did you notice that she was crying?
Yes, but I just assumed she was the kind of person who does so regularly.
That still wouldn't make it okay for you to pester her until she started crying.  I think you should apologize to her.
Hell no. If she's such a cry baby, she shouldn't be working here.
I believe everyone has an equal opportunity in a job position, even if they can be easily emotional. Why don't you think of her situation, maybe she was having a rough day? Why not apologize to her and make it up to her, maybe she can be a great friend!