Well, I know for a fact my dad isn't scared so I can't help you with your parent being scared, but I did help my lil brother who was slightly afraid. He told me though, and I was happy to answer his questions and bust some myths he had heard/thought of.

You're also experienced so you don't have to go through the same process as I did: "snake talks", proving knowledge +responsibility.

All I'll say is this, and I may seem a little weird since I have a BP, but I feel like I should say it. Ultimately it is up to your parents (if you're a minor/living in their place). Sometimes you just have to respect their decision, because nobody likes to be pushed. When I ask for animals it takes a couple of years (or over a year at least, my BP wasn't as hard as some animals I had when I was younger) to really even get them slightly interested/have them be okay with the thought. So yeah, sometimes it just isn't going to work out when you want it to. In the future maybe they'll say yes, or maybe you'll be old enough to make that decision yourself! But right now, respect the "no" if she absolutely will not budge. Don't push, don't bring it up every half hour (you may not do this but I've seen people do it), don't beg about the basics (I promise I'll take care of it, I'm responsible enough, but please, not that these apply to you).

Well ill that might all seem hypocritical. But the BEST advice I could give you, is to just straight up ask "mom, why not?". By doing this my dad learned a lot about snakes (ball pythons especially) that he had never known before, and discovered that a lot of what he thought about care wasn't true.

best of luck to you!!!