No, not grounds for immediate termination, IMO.
If you feel unsafe and if she has threatened your life or limb or other damage, like to your car or family, do a police report. Such a threat could be deemed disturbing the peace, making terrorist threats, or assault.
Without knowing the whole story, it's hard to say who should be apologizing to whom but you say you apologized repeatedly. Did she not acknowledge or accept your apology? Did she not say she was also sorry for blowing up? No big surprise if she didn't. Typical.
This type of behavior happens all too frequently in the Nursing field.
You need to understand that you and she are coming from 2 different views of life and 2 different approaches to life. She seems to have learned that fighting is best, not calm discussion, and that nurses do not deserve respect or deference, that nurses are just team members like she is a team member (not team leaders or the ones with the most liability).
Maybe she is overly tired, maybe she is not feeling well (pregnant, PMS or menses, other medical condition, whatever), maybe she's got sick kids and parents, a violent man in her life, too many bills, or whatever. You can feel somewhat sorry for her but she should not be bringing her troubles to work and taking it out on you or anyone else. I'm sure you and everyone else has troubles, too.
Watch your back. At the very next opportunity and at every opportunity, write up her rude behavior, her cruelty to patients, whatever you catch her doing or saying amiss. Maybe you won't catch anything but you might. Report every instance.
Pray for peace but be prepared for otherwise. Leave or ask to transfer or change shifts if you have to.
I applaud you for reporting her. Most nurses look the other way and that is how these bad apples thrive. Of course, most managers look the other way, too, which pretty much cuts the legs off of the nurses.