The rules actually don't say "on your
next turn", they say this (emphasis mine):
Take a Buddha figurine, and place it during a next turn on an
empty ghost space facing your Taoist.
You can place the Buddha on any next turn. So you keep it until you have a chance to place it in front of your Taoist.
(edited for clarity)
That's just what is written on the Village Tiles Play Aid. In the Rules book, p. 6, it reads:
A player who obtained a Buddha figurine during a previous turn (via the Buddhist Temple village tile) may place it at the end of his turn, if his Taoist faces an empty ghost space.