As stated above, I am a detached aspie female. I know from experience that you have to be careful that you aren't just showing "empathy" toward your girlfriend in order to "get sex" because she'll probably see through that one in a millisecond.
If you really care for her then you should understand that it is probably taking all her energy to get through her struggle at work, and what she needs is someone to listen, to care, and show empathy without asking for anything in return. If you have any alterior motives for showing empathy toward her at this time then any display of empathy might be perceived by her as manipulative and could harm your relationship.