Many in my company do have non-IT degree. The most important is what they see from you. I believe even if they dont have an IT degree, what they have is the passion and willingly to learn themselves, even before the meeting. You say you are interested in developing, but if you have never go and explore yourself, it doesn't make sense that you never try it out yourself.

Developers need to be able to explore and learn themselves, when they are studying, being a fresh grad, a senior, and so on. You need to have that traits too.