I encourage you to go into nursing if that is what you want to do!
Don't let your age stop you.
I also was hesitant because of my age (I was 55 when I started nursing school
and by far the oldest in my class). I felt that people would not judge me by my age, but would probably judge me more on how much energy, strength, and enthusiam I radiated.
So, I entered an accelerated program at the age of 55 and graduated Summa Cum Laude in May at age 56. I agree with the above comment that you should strive to do really well in nursing school in order to stand out.
As far as a nursing shortage, I do not believe there is one. I think there are way too many nurses for available positions, and from what I have heard it can be difficult for new grads to find a job.
However, I am happy to report that I landed a new grad RN position within 6 weeks of graduation. I attribute my success to making connections during school (in clinicals and with my various nursing instructors) and by just being myself and showing positive energy, enthusiasm and a strong desire to be a nurse.
I did it, and so can you. It was hard -- not because I'm "old," but because nursing school is just hard.
I made my dream come true and so can you! I encourage you to go for it. Good luck!