piss-off factor
n. An object's component or quality that has the potential to annoy or anger a person viewing or using the object.
The twist to the camera campaign, which is catching millions worldwide, is for the first time it 'pops-under.' … Advertising agency eMitch says companies in Australia are beginning to use the new, intrusive ads because they are generating a bigger reaction.

'A frequency cap so people only see it once is important to minimise the piss-off factor. I get irritated if I see it over and over again,' said eMitch's Mr Darren Patterson.
—Kirsty Needham, “Pop-up ads going down badly with Net users,” Sydney Morning Herald, July 21, 2001
1990 (earliest)
But then there is the 'piss-off' factor; the reluctance of vendors to base products on Intel's proprietary 860 microprocessor.
—“Most Significant Bits,” Microprocessor Report, February 21, 1990
The verb to piss off means to annoy, irritate, or anger, and it entered the language in the late 1960s. This was once considered a vulgarism, but these days it's not uncommon to hear it on TV and to see it in print. For example, this phrase has crashed such august publications as Fortune magazine and The Independent newspaper.
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