ADVERB (2)

1. in a constant and steadfast manner;
- Example: "an unswervingly loyal man"

2. without swerving; in a direct and unswerving manner;
- Example: "the ship travelled unswervingly through the night"

WordNet (r) 3.0 (2006):

unswervingly
    adv 1: in a constant and steadfast manner; "an unswervingly
           loyal man"
    2: without swerving; in a direct and unswerving manner; "the
       ship travelled unswervingly through the night"