Other forms: irreligiously
If you're irreligious, you don't believe in a religion, and you may even feel some bitterness toward religion in general.
Being irreligious can vary from not caring one way or another about religion to actively opposing the very idea of religion. Atheism — not believing in any god — and agnosticism — doubting the existence of god — are seen as irreligious. You're also irreligious if you do believe in god but don't belong to a religious group or attend religious services. The ir- prefix, not, is attached to religious, "believing in a religion."