Thanks to @sethdrebitko for the heads-up.
@KatashaLovesTacos, the short answer to your question is that you can definitely move from 40k-50k in one move. As others have said, you'll likely have to move out of the non-profit sector, or at least move to a different company within that sector. Moving from 40-50k at a non-profit without changing companies would be... challenging.
It can't hurt to try to get a raise
But that doesn't mean you should try to get a 25% raise while looking for other opportunities. I wrote a six-article series on how and when to ask for a raise, and I think it will give you a good starting point for working to get a big raise without changing jobs: How and when to ask for a raise the right way
Estimate your market value
Assuming you'll need to change companies, you should start by getting a sense of your market value. My guess is that getting a certificate will help increase your market value. Read about that here, and you can also work through the process with a free lesson from Get Your Next Raise. (I'm not sure how long that lesson will be free, but it's free for now.)
Knowing your market value will give you a better sense of how well you're doing at 40k.
How to avoid revealing your current or desired salary in interviews
@OurFinancialPath mentioned that you should not share your past salary in an interview, and I would add that you should also not disclose your desired salary in an interview. (I'm talking about when you're interviewing with a new company, not when asking for a raise at your current company.)
Here's an article I wrote on how to avoid that question effectively: The Dreaded Salary Question.
Hopefully that helps you map out next steps. I'm happy to answer any other questions you have. Good luck!