I don't cut as much as I use to and last night I kind of freaked my self out. Most of the time I don't cut myself to deep and I don't cut around any major veins or arteries so I never bled a lot so I would cut in the shower (don't have to worry about mess or someone walking in and the water can keep the wound bleeding if wanted) but last night, I'm thinking from the way my wrist moved when I pulled the blade across my skin, I put this gash like cut on my waist. The first thing I noticed was how much I was bleeding which scared me cause like I said before I have never cut that deep (the wound would probably bless for a min or two then dry up). Blood was running all the way down my leg so I got out of the shower grabbed some toilet paper and applied pressure and the bleeding stopped pretty quickly. That's all I really did for the night cause it just stopped bleeding it didn't have time to fully clot if that makes sense I didn't want to risk it bleeding a lot again if I cleaned it, and my cotton balls where in my room yet and toilet paper wouldn't work to well. That was at 11-12 last night. At 6:30 this morning I used some witch hazel on the wound and recovered the wound which I also did last night. I get home this morning from school at 2:30-3:00 and I used some more witch hazel on the wound along with hydrogen peroxide waited for that to dry and put some gauze on it. Being the next day I can see the wound a lot better now that its not bleeding and its deeper than what I normally cut at which explains the blood but because of how the blade was angled or something there's also a bigger gap in between the skin probably about the size of the 5th-6th string on a acoustic guitar at the biggest section.

Would it be able to heal naturally?
And if it can't what can I do that doesn't require telling my parents or going to the doctor?