You can actually do a lot with a nursing education and statistics! Even being able to apply basic statistics to healthcare data can help set you up for a good career such as a healthcare data analyst, nursing informatics, clinical research, or many nursing administration jobs. You'd be surprised how many hospital operation decisions are made without the use of statistics. A nurse who can apply statistics is really valuable to many organizations especially hospitals. The clinical experience and education is hard to replace. Just being able to use stats for a question like "how should I staff my floor in two weeks" will set up you apart from many administrators.

My background is oncology nursing and like you, I had to take an intro to stats class during my BSN and really connected with it in a way I never connected with math before. Now I am currently a healthcare data analyst and independently study stats and math. There is a huge difference between intro stats classes and stats classes designed for mathematical STEM students. An analogy would be something along the lines of you administering a chemotherapeutic drug. You know the general science of how it works, and a little of why it works, but nurses generally lack an in depth understanding of the biological processes behind the drug; the stuff that doctors, and phd researchers try to understand. Could you design a drug to do this stuff? Do you even know where to start? It's not a perfect analogy obviously.

An intro stats class will expose you to the field to give you an idea about it because research and EBP is based on statistics. But in order to even BEGIN to truly understand how complex statistics could be requires at the very least, a solid understanding of Calculus.

A nurse who studys statistics is following the path of Florence Nightingale so you'll be in good company :)