I can speak only for the Army National Guard side of the house. You are eligible to receive a commission with a diploma or associate's degree in nursing, although most recruiters would prefer to get a nurse with a BSN. The reason is that you cannot be promoted beyond a certain point without having a Bachelors in Nursing
(in other words, your BS in telecommunications would not make you eligible for promotion beyond Captain in the Army). Nurses with any
degree are absolutely excellent officers, however the military considers a person's future military career before having them sign the paper, and sees a BSN as greater advancement potential for that officer. You should talk to the branch you want to join and ask about their policies, and if they have any vacancies for you.
Secondly, officers do not go to boot camp. Only enlisted soldiers do. If you're accepted to get your direct commission as a nurse officer, you would go through Officer Basic Course (OBC) after you've already joined, which, although difficult, is shorter and offers a higher quality of life.
OBC can last between two weeks (reserves) to over a month (active duty). Do a search for "Officer Basic Course" and you should find all the information you need dealing with the branch of service you're considering.
Good luck! Ask around, do some research, and find what works for you.