A trap prevents sewer gas from coming into the house along with sewer flies, and other nasty things...yes, you need a trap. But, you have a problem in that code requires a shower to have a 2" drain AND pipe. You cannot go from 2" to 1.5" back to something larger. So, to do this right, you may have to crack some concrete. The trap should be directly under the shower. The longer the drop to the trap, the more exposed crud can accumulate and fester to generate smells, too.