If someone has a distinctive accent, it's bound to catch someone else's attention, whether due to being aesthetically pleasant to that character, or mysterious, or even attractive. On the other hand, it can also mark that character as being a foreigner or otherwise outside of the norm and possibly lead to unpleasantness of some kind.

The classic line "I love your accent!" is the inevitable result of this.

Sister Trope to Aroused by Their Voice, where this attention has an erotic or amorous intent. Can lead to an