Apparatus for making a drink or liquid food from a capsule (3) containing a substance to be mixed with water injected at pressure into the capsule, the apparatus comprising a mixing unit (4) with a capsule insertion channel (14), a capsule holder (8) with a mixing wall (22), an injecting head (10) for injecting water into the capsule, and an opening and closing mechanism (12) for producing a relative movement between the capsule holder and the injecting head to open and close the injecting head on the capsule holder. The insertion channel is inclined at an angle of between 30 and 60 degrees relative to a horizontal plane (HZ).