Suicide is a VERY terrible thought. Your first and MOST IMPORTANT priority, now, if you really care for her, at this time, is to ensure that she does not take any step in that direction. Convince her how it will pain her family, you and others. For this, legal advice is not what you need. Thinking about suicide is the first step, talking about it is the next and then too much talking makes them think that if they don't do it, they will be laughed at. So, buddy, this is serious matter if indeed you are echoing her words and thoughts accurately. If she is in serious depression, convince her to see a psychiatrist.
How you proceed from there onwards is not a matter of legal choices but far beyond that. Second cousin? Is one of her parents and one of your parents cousins or brother-sister? If cousins, perhaps it is acceptable as avoiding the incest taboo. Seek advice of other elders in your family who are also related to her. Ask them how best to resolve this situation. Do all this amicably. DO NOT RUN AWAY WITH HER AND GET MARRIED. DO NOT APPROACH ANY ADVOCATE BECAUSE HE WILL ONLY THINK OF HOW TO MAKE MONEY OUT OF THIS PROBLEM AND COMPLICATE THINGS TO MAKE EVEN MORE MONEY LATER. Advocates in India are rotten, cowardly, unethical, illiterate morons.
THIS IS THE WRONG FORUM FOR YOU TO COME. YOU NEED SERIOUS CONSULTATION OF A WHOLE DIFFERENT VARIETY most likely from within the family not outside. GOOD LUCK!!!