A dispenser and applicator head (T1; T2) for associating with a dispenser unit (P; R2), such as a pump, a valve, or a squeezable tube, the head comprising: • a connection stub (1; 1') that is made out of a substantially-rigid first material and that is for connecting to the dispenser unit (P; R2); • an assembly core (2; 2') that is made out of the same material as the connection stub (1; 1'); • a flexible link section (S; S') that interconnects the connection stub (1; 1') and the assembly core (2; 2'); • a fluid applicator pad (5; 5') for coming into contact with an application surface such as the skin, so as to apply fluid to the application surface, the applicator pad (5; 5') being made out of a heat-transfer material, such as metal or ceramic, so as to impart a cold sensation on contact with the skin, the applicator pad (5; 5') being mounted on the assembly core (2; 2'); and • a dispenser channel (6; 6') that passes through the connection stub (1; 1'), the flexible link section (S; S'), the assembly core (2; 2'), and the applicator pad (5; 5') in which it forms a dispenser orifice; the dispenser and applicator head being characterized in that the flexible link section (S; S') comprises: • a flexible bridge (3; 3') that is made out of the same material as the connection stub (1; 1') and the assembly core (2; 2'), the flexible bridge (3; 3') interconnecting the connection stub (1; 1') and the assembly core (2; 2') in such a manner as to form a single-piece base (E; E'); and • sheathing (4; 4') that is made out of an elastically-deformable second material that is more flexible than the substantially-rigid first material, the sheathing (4; 4') surrounding the flexible bridge (3; 3'), at least in part, and interconnecting the connection stub (1; 1') and the assembly core (2; 2'). • a connection stub (1; 1') that is made out of a substantially-rigid first material and that is for connecting to the dispenser unit (P; R2); • an assembly core (2; 2') that is made out of the same material as the connection stub (1; 1'); • a flexible link section (S; S') that interconnects the connection stub (1; 1') and the assembly core (2; 2'); • a fluid applicator pad (5; 5') for coming into contact with an application surface such as the skin, so as to apply fluid to the application surface, the applicator pad (5; 5') being made out of a heat-transfer material, such as metal or ceramic, so as to impart a cold sensation on contact with the skin, the applicator pad (5; 5') being mounted on the assembly core (2; 2'); and • a dispenser channel (6; 6') that passes through the connection stub (1; 1'), the flexible link section (S; S'), the assembly core (2; 2'), and the applicator pad (5; 5') in which it forms a dispenser orifice; • a flexible bridge (3; 3') that is made out of the same material as the connection stub (1; 1') and the assembly core (2; 2'), the flexible bridge (3; 3') interconnecting the connection stub (1; 1') and the assembly core (2; 2') in such a manner as to form a single-piece base (E; E'); and • sheathing (4; 4') that is made out of an elastically-deformable second material that is more flexible than the substantially-rigid first material, the sheathing (4; 4') surrounding the flexible bridge (3; 3'), at least in part, and interconnecting the connection stub (1; 1') and the assembly core (2; 2').