You won't be a ble to keep the skunk. Assuming you removed the dead fish, there isn't likely enuf ammonia to get things going. And once you do get things going with an ammonia source to cycle, the shrimp won't make it thru anyway.10g tank is gonna be real hard, especially if you don't do any homework first - kinda like you just did
You should have an ammonia test kit like yesterday. Get ammonia and nitrite kit ASAP. Read up on cycling a tank as prescribed.
How much live rock in there?
Also, realize you may not have fish for 3-5 weeks at the most. Take your time or you'll kill more things. I guarantee it. A 10g tank is small for a newcomer and things can get bad REAL fast. Any chance you can start out with something larger, say 40g maybe?