Well, it looks like the checksheet for the minor is here. http://www.cs.vt.edu/undergraduate/minors and here are the requirements for the BFA (there are different options, so I hope this one is close, I am not super familiar with the arts program) https://registrar.vt.edu/content/dam/registrar_vt_edu/documents/Updates/caus/2019/caus_art_bfa_ctch_19.pdf.
Anyway, look at the BFA, and you will see the elective lib art requirements at the top - engineering classes are almost always area 4. The minor checksheet is 6 courses, so your daughter may be taking 4 extra courses. Look at the prereqs as well, if your daughter is in a lib arts program, she probably doesnt have to take the calc and other prereqs in her normal major curriculum, so these need to be tacked on as well. Luckily for you, I would imagine that there are plenty of people from both sides who want to get a little bit of the other curriculum experience for game design, so the advisers should have a good game plan to help you out.
There is also a video game design club that anyone can join - which should have a lot of people who can help her out as well. https://gobblerconnect.vt.edu/organization/gamingprojectatvt so she should definitely check that ou.
It doesnt appear (contact the CoE and double check) that the CE minor is restricted, so more than likely its just declaring the minor and having the appropriate prereqs done.
Hope this helps.