ITCHY AF vulva from cut. Any advise?

I accidentally cut myself down there with my nail a month ago as I was showering. On the vulva area- puffy part. It started bleeding.
It's been a month and it's still itchy. It's fine during the day but when I'm showering or in bed, it start to itch heaps. It also still sting a little.
I'm also suffering from eczema on my arms (it's winter here) and don't know if my cut caused ezcema down there. 
I don't know how to heal it. 
Any tip would be great!