1 month is not too long a wait, so there is a chance that the seed will germinate, but there are some other factors to consider. Seed of Dionaea require a 3 week cold stratification for good germination at temps. @ 40F.
Be careful with the temperature level in the terrarium is it is outside, too hot is not good: the seed will germinate well in cool conditions, although high humidity is good. It's a hard balance to maintain in terrariums, esp. if outdoors. Pure peat is not the best substrate, but should be ok as long as it is not too compact. Seeds of CP are not like other flower seeds, they take time to grow, and often will spring up when you have decided there is no possible way they could still do it, so whatever happens, keep hoping and maintaining the conditions for germination.