"rising menace" is a correct and usable phrase in written English.
You can use it to refer to something that is getting more and more worrisome or threatening. For example: "The rising menace of climate change is a challenge the world must address."
How else were we going to reply to the rising menace of Islamic jihad?
He pushes a number into his mobile and says, with rising menace.
He came to view socialism as the only available and possible alternative to the rising menace of fascism in both Germany and Italy.
But there is unanimity in counter-terrorism circles that it is needed to limit the threat Britain faces from Islamist terrorism as well as the rising menace of extreme rightwing terrorism.
Even the nationalist Greater Romania Party, which some consider a rising menace on the xenophobic right, looks unlikely to get much more than a tenth of the vote.Instead, many Romanians seem to believe that the institution that will deliver them from their predicament is not their government but the EU.
If the additional potential side effects of the drugs and the rising menace of antibiotic resistance are taken into consideration, we suggest that the routine use of post-operative prophylactic antibiotics may not be justified.
Where Trump could go down in history as a one-off, an erratic showman who rose by pulling a few ideas from the anti-establishment populists, Wilders might more truly represent a rising global menace.
When you read the accounts of his final months, you get a sense of building pressure, of a rising atmosphere of menace and doom.
Players who stay in the game through the first few levels discover that the voice that is bellowing orders at Bob with a rising tone of menace belongs not to God but to an imposter.
The most wrenching performance is of "O Death," a folk song from the twenties made famous by the Coen brothers' film "O Brother, Where Art Thou?" For nearly eleven minutes, it's unclear which side of mortality her voice represents, as it twists into a glassy croak before rising into a menacing howl.
The evidence accumulates -- droughts, melting ice caps, cod dying off New England, rising sea levels menacing the Florida coast.
