Step 1: Understanding the Concept
In dioecious plants such as papaya and date palm, male and female flowers are on different plants.
Step 2: Effect on pollination
A flower is never bisexual, so pollen cannot reach the stigma of the same flower. Geitonogamy is also impossible.
Step 3: Compare the options
Allogamy and xenogamy are cross-pollination, which dioecy promotes, and hybridization involves crossing. Only autogamy is prevented.
Final Answer:
Dioecy prevents autogamy.
\[ \boxed{\text{(D) }\text{autogamy}} \]