An apparatus includes a proximal body portion configured to be gripped by a user, a distal body portion that terminates at a spreading tip configured to spread a topical skin adhesive along an application surface, and a flexural body portion that interconnects the proximal and distal body portions to define a monolithic body. In response to an input force applied by a user to the proximal body portion when the spreading tip is positioned against the application surface, the flexural body portion is configured to buckle non-uniformly along a lateral width of the apparatus. Additionally, or alternatively, the flexural body portion is configured to elastically deform so that the distal body portion angularly deflects relative to the proximal body portion to thereby limit to a predetermined range a resultant normal force exerted by the spreading tip on the topical skin adhesive along the application surface.