The ornamental design for a bottlefillerfountainaccessdoor, as shown and described.
FIG. 1 is a front left perspective view of a bottle filler fountain access door according to a first embodiment;
FIG. 2 is a left side view of the bottle filler fountain access door of FIG. 1;
FIG. 3 is a front left perspective view of a bottle filler fountain access door according to a second embodiment; and,
FIG. 4 is a left side view of the bottle filler fountain access door of FIG. 3.
The broken lines in the drawings show environment and portions of the bottle filler fountain access door and form no part of the claimed design. A third embodiment of the claimed design is a mirror image of FIGS. 1-2. A fourth embodiment of the claimed design is a mirror image of FIGS. 3-4.