B.Sc

You should go for TISS.

Here is the list of B.Sc. Nursing colleges in Haryana and Delhi:
https://www.shiksha.com/nursing/colleges/b-sc-colleges-Haryana?rf=filters&st[]=105&bc[]=26&ct[]=74&uaf[]=base_course&uaf[]=location
You can choose the college which is nearest to you.

Annual fee - Rs 32 K.

You should have done your 12th in science with minimum 50% marks for this course.

For admission in B.Sc, you have to score a minimum of 50% in class 12th.

Hi!
Check this link for placement reviews and also get other important details:
https://www.shiksha.com/university/soa-siksha-o-anusandhan-university-Bhubaneswar-38037/courses/bsc-bc.

Yes, she can do her under graduation course as there is no age limit but I think she has to take re-admission and has to start from the first year.

Yes, you can get admission for B.Sc+B.Ed (integrated) in Bansthali Vidyapeeth with these marks. For the detailed information, check this link:
http://www.banasthali.org/banasthali/admissions/course.html

If you fall under some category then it will be possible for you to get admission in some government college but otherwise it will be very difficult so I would suggest you to either give the paper again and perform well or change the stream look for your interest area of where you think you can Exce