Now, I think it might be possible for your tiny murderer to take down a regular sized human with bladed weapons, but it isn't going to be very nice. You're gonna be needing a rebreather, some hooks, some sharp cutting instruments, maybe a crowbar and a willingness to crawl into confined, hot, slimy spaces. And then you're going inflict traumatic brain surgery, by going in through the nose whilst the victim is sleeping. It's is going to take some time, the nose-owner is going to be trying hard to get you out, and it is possible they might be able to get surgical assistance before you actually inflict enough damage to kill them promptly, but it remains possible.
I can think of a couple of better options though.
First is poison. Injecting the poison is largely impractical because skin is thick and tough and you'll have a job driving a mini-hydrodermic through it, but there's some scope for ingested stuff if you can get it into the victim's food or drink. The right kind of chemicals can also work if instilled into the eyes, but perhaps the most straightforward approach would be to use a powerful neurotoxin that can seep through skin.
Chemical weapons like VX are perhaps the best known example of such a thing. Only a few tens of milligrams of the stuff can kill an adult human, it is effective on skin contact, and protecting the assassin from the stuff requires relatively well-established protocols and fairly easily available protective equipment. Squirt some of the nerve agent into the victim's ears, nose, eyes or mouth for best effect (but even an exposed ankle or toe might be enough), leave promptly. They might never notice.
Other things like ricin, botulinium toxin, radiotoxins like polonium-210 and perhaps some biological weapons are even more dangerous but present significant difficulties when administering the stuff, and protecting your assassin from their dangerous effects. Wearing a hazmat suit and wielding a squirt-gun with some low-vapor-pressure neurotoxin seems much safer and more reliable.
The second is demolition.
You can't really treat something that's 72 times taller than you as an opponent you're going to fight with... its a large, complex, pretty solid structure that can nonetheless be damaged in some critical areas. Humans have been making military and industrial demolition charges using shaped exposives for decades now, mostly for use against tough things like rock, reinforced concrete or metal. A human target, being made largely of meat, seems likely to be easier to attack this way.
Consider something like the M150 "Penetrating Augmented Munition", intended to be a device that can be deployed by a single soldier capable of disabling a hard target. With a bit of careful design, a shrunken shaped charge might be made that's capable of being attached to the right spot on the scalp of the target and blasting through to the brain stem. Maybe several such charges would be needed to be certain, but a team working together could be fairly certain of killing a target with the right demolition charges.
Or, as Glen Yates said in the comments above, just nuke your way to success. You've already extended the middle finger of authorial fiat to the laws of physics, so of course your mini-nuke will work as expected. A shrunken Davy Crockett might just be powerful enough, with the scaled yield of 56g of TNT, the same as a hand grenade. For a bigger punch, the Special Atomic Demolitions Munition could deliver 10-1000 tonnes of TNT-equivalent in a single-person-portable form, and even when scaled down that's the equivalent of a couple of kilos of regular-scale TNT... much more than enough to kill a human. In either case, the amount of prompt radiation released by the nuclear reaction should be enough to inflict lethal damage to a nearby human even if the blast didn't. Even larger warheads can be brought in and still potentially deployed by a single person, eg. W82, etc. As luck would have it, there was another question about scaled nuclear weapons recently, so you can read my answer to that one, if you were interested, though it wasn't concerned with human-portable devices.