Welcome to TFF.
First question is, what are the water parameters of your source water (tap presumably)? Meaning the GH (general or total hardness), KH (carbonate hardness or Alkalinity) and pH? You should be able to find this data from your municipal water authority if you're on city water. Check their website.
This is very important for all fish, but especially with "nano" type small fish that will more likely be wild caught and thus more fussy with water. The fish mentioned here are all soft water species, but if your source water is especially hard, that won't work.
Moving on to some comments on the species themselves, assuming we have no water issues...I would forget dwarf gourami and stay with small fish. This species (DG) can (depending upon its breeding origin) be a carrier of the iridovirus which is not treatable. Aside from this, a 10g is not all that much space for this fish and combining it with very small fish can be problematic. There are some suitable smaller gourami if you are interested in gourami, though not as brightly coloured.
Corydoras if the "dwarf" species are fine.
Corydoras pygmaeus,
C. habrosus or
C. hastatus are the three common dwarfs; a group of 9-10 of whichever species. Some of the slightly larger species could also work, thinking of pandas (C. panda). A group of 6-7. I'd want to know more about the water parameters, but all of these like cooler temperatures (low 70's, with 75-76F max. And they need sand substrate.
The Harlequin Rasbora are a bit large for a 10g, they will be happier in a 20g or larger. These too are shoaling fish, meaning they need a group, so that must be kept in mind. A couple of this species might be fine in a 10g but the fish will not be settled without a group of six or more, so that means larger quarters to properly provide for the needs the fish "expect."
Cardinal tetra can work, they are sedate fish that will sort of hover around, though I would want more space for them. The Ember Tetra is more what you want, a group of 10-12. Or one of the dwarf rasbora species in
Boraras which are very similar and even brighter red.
Byron.