Greetings unto the List!
Great answers so far...
1) You do not have your kit. How will this impact what you do? Will this impact what you do?
After initial securing the scene and assessment of ABCs, I'm going to determine how bad that bleeding is based on mechanism of injury, causative tool and location on the body. Is it spurting and bright red arterial? Is it slow and venous dark bleeding? Areas like the hands, head and feed are very vascularized to feed all the nerves there, so they can look like they are bleeding "a lot" without it being a very deep wound. Blood scares people; what appears to be a lot of blood scares them more.
Sure, we can cry the hall for a first aid kit but, what if it's not handy? No gloves? No problem. Yes this child is 6 years old who isn't likely to have blood borne illnesses. However, I'm also protecting them from MY germs (to the open wound). So as long as it's not a huge venous bleed or an arterial bleed, I'd have the child press a clean hand with their own clean clothes or other cloth material onto the wound. Later, or if she is unable, I'd have the parent do it (who can handle their own child's blood as they see fit). Ideally, sterile or "medically clean" is the best, however, given what I see people putting on their wounds and how few of them actually turn into infections, I doubt that a clean cloth will cause much damage microscopically.
Please note: tissues and papertowel break apart when wet so cloth is a more preferable improved alternative to gauze than tissues/papertowel. And baby powder should never EVER be put into a wound to stop bleeding (yes I've seen that too). Some naturapaths use moleskin to absorb blood but I'd be hesistant to use the fur of an animal with so much surface area directly on the wound.
Of course, I also don't need a first aid kit to implement the primary treatment of RED = Rest Elevate and apply Direct pressure. so the child will sit, raise their hand to the shoulder and apply direct pressure to the palm herself (at least to start or until there is good infection control and/or first aid supplies).
Barring a parent being able to hold the wound, or the child, and no gloves available, I'd use a very thick pad of cloths and my own clean bare and WASHED hands - most venous bleeding can be controlled with direct pressure in 10-15 minutes.
2) Given that the only information you currently have is that a child has been cut and the bleeding 'looks really bad', what sort of problems/issues do you think you should be anticipating? Should you be anticipating any problems?
as I mentioned earlier, what's the blood loss like? venous vs arterial? how much is lost?
are there deeper injuries such as tendons lacerated? are the edges approximated (able to come together)? what tissues can be seen inside the wound, if any? If the wound is large, deep or in a flexy-bendy area, stitches may be required, which would involve transport to an urgent care facility or local emergency (not all walk in clinics can stitch).
is the distal circulation present (i.e. the site most far away from the heart on the other side of the wounded area). I'd assess that through cap refill of the fingertips. Also a pulse check just to be sure of supply.
is the distal range of motion satisfactory? what about range of motion to the injured area (i.e. palm/wrist).
Without the adequate first aid supplies, my primary concern would be ABCs, RED, and hold the wound edges together whilst applying pressure.
3)For any problems or issues that you've thought of (if any), how might you deal with them?
I'd also want to know if the child's vaccinations are up to date, for a thorough report to EMS although I can't do anything about it if they aren't.
What was the child cutting? Wood? Metal? Food? are there any foreign bodies in the wound which need to be rinsed out or secured in place (if big). If it's a cut because of glass an xray may be in order to identify fragments in the wound.
Are there any other injuries that were missed because of the concern over the visible injury? Is there a medical condition for which bleeding would be a problem (bleeding disorder, anemia, and if there's lots of blood loss conditions like diabetes for which homeostatsis could be altered). Will the child go into shock, faint or collapse at the sight of her own blood... will anyone else faint
and always always always crowd control of well meaning watchers and helpers
I could go on like this for hours.... heh heh heh