This is the 4575th most frequent Japanese word.
強いて
"Forcibly; insistently; if compelled to."
In this sentence, "強いて" conveys the meaning of 'to forcefully or insistently' in relation to the action of persuasion.
彼を強いて説得するつもりはない。
I have no intention to forcefully persuade him.
Here, "強いて" is used figuratively to express hesitation or a hypothetical scenario where one insists on expressing an opinion.
強いて言えば、彼のアイデアは面白いと思う。
If forced to say, I think his idea is interesting.
"強いて" in this context refers to the act of forcefully implementing something, emphasizing an undesirable compulsion.