Any experience is valuable experience, though some experiences are obviously better than others. My new grad experience wasn't the new grad friendly type with lots of orientation. I had a short orientation, was thrown to the wolves, became charge nurse very quickly afterward, but I am no worse for it. Experience is what you make of it. I learned time management, ended up working with great people who I looked forward to working with, and learned much needed leadership skills. I became a leader because I was placed in that role, and I am more confident now.
I then transitioned into the ICU after a year, and had a great orientation, newer nurse friendly, etc. I love it there, and have no plans on leaving. (And, for the record: I did not leave my other job d/t job stress, I was very comfortable there; I wanted more learning opportunities, to advance my career, utilize/expand on my clinical knowledge more).
Don't know how many options you have as a new grad; that depends on your location. You may be able to be more choosy in what you apply for or you may just have to apply for something and be glad they hired you. You sound young, like a person coming right out of school, nothing wrong with that. I'm by no means aged lol, but nursing will help you develop a thick skin if you don't already have one. Nursing is very rewarding. Best of luck to you!