The phrase "again when faced with" is correct and usable in written English.
It can be used to indicate a recurring situation or challenge that one encounters multiple times.
Example: "She found herself feeling anxious again when faced with the same difficult decision."
Alternatives: "once more when confronted with" or "again in the presence of".
He was being robust again when faced with questions last week from the House of Commons Liaison Committeee.
It's the reference you'll turn to again and again when faced with a clinical conundrum or therapeutically challenging skin disease --Publisher's disease --Publisher
Doctors from Oxford say they found that nearly 40% of such children had the infection, and they are asking GPs to think again when faced with diagnosing children with persistent coughs.
Time and again when faced with a dysfunctional narrative (fictional or real), I recall a brilliant memo that David Mamet once sent to the writers working on one of his television shows.
In effect, he was on his own, set free to wobble, fall and get up again when faced with an unfamiliar, and arguably unfair, salvo of public criticism from Charles Barkley and Magic Johnson.
Again, when faced with two similar investing opportunities, most investors will select a stock with the lower likelihood of flash crashes.
But it would be unfair to blame the bowlers for this defeat, as England's batsmen again wilted when faced with quality slow bowling on the subcontinent.
Cuccinelli's record has shown, time and again, that when faced with the opportunity of trying to limit women's access to health care and make their personal decisions for them, he'll seize that chance.
In happened again in December 1997 when "faced with a hopelessly divided opposition....., President Moi and senior officials of the ruling party.....banked on KANU's winning the elections..... .. - which they did albeit with a minority vote and slim majority in the newly elected Parliament.
In a recent paper that represents the straightest talk heard from the official sector in a long while, Haldane puts it this way: The government may say "never again" to bailouts, but when faced with the choice to either "rescue big banks or allow the world economy to collapse," it will reasonably choose the route of rescue.
The following day, he attacked the Russian cavalry, but was again forced to withdraw when faced with superior numbers.
