Well! i disagree with khawateen bcoz no doubt that ur friend has got a good degree from good institution, but u must also think that in Islam, women can only work in the case if her husband had died or if there is only a woman to feed the family, but no man.
This is not strictness, that family may be religious minded so they said to do so.
Thing is that nowadays, good people and good rishtas specially for women are very few and in most of cases boys are either less qualified and ignorant or are involved in bad activities.
So, ur friend must be happy that she had got good rishta in this era.
in my point of view! if she continued her job and refused this rishta. and Khuda Nakhusta if she got such an ignorant rishta as i said later, then this will be the bad case for her.
so she must have to accept it if she cares for her future!
:)