You're correct. However, the accident will be on her driving record regardless of whether or not a ticket is also listed on the record.It's impossible to answer your question unless someone on this forum works for the company that she is going to apply for employment with. Most background checks are contracted out to third parties and it's likely that they will have access to these reports.
The only way to keep things like this off of a driving record is to drive more carefully so it doesn't happen in the first place.