Unless the feather is a blood feather (newly growing) it should not bleed at all when trimmed. If she's molting, then a blood feather is a possibility. If you did happen to cut one of those then blood stop powder, styptic, or corn starch and pressure can help stop the bleeding, or if it won't then you can just pluck that feather and put pressure on the skin where it was. I had a Brahama roo that I had to trim feathers on more than once, he had a crooked toe from being broken and would be prone to bumblefoot in that foot. Sometimes I could just wrap the feathers in the direction they were growing without trimming them, but your hen looks to have pretty heavy feathering there, so that may not work for her.