inhibit

英 [ɪn'hɪbɪt] 美[ɪn'hɪbɪt]

Instead of protecting speech and encouraging diversity and innovative thinking, the tenure system often stifles(压制)them: younger professors must win the approval of established colleagues for tenure, encouraging like-mindedness and sometimes inhibiting the free flow of ideas.

If you say no, even politely, you risk inhibiting further ideas, not just from that reporter, but from others who heard that you turned down the idea.