The phrase "a performance that may" is correct and usable in written English.
It can be used when discussing the potential or possibility of a performance occurring or having certain characteristics.
Example: "The event will feature a performance that may surprise the audience with its innovative choreography."
Alternatives: "a performance that could" or "a performance that might".
He got the same scoreline and a performance that may well have been worse.
The once-great hip-hop duo returns for a performance that may or may not offer something besides nostalgic bliss.
It was a performance that may have lacked Spurs' most fluent attacking style but which felt like a tribute to the basic energy of this Mauricio Pochettino era, the wild, surging joys of their best days.
SHANGHAI — Ryan Lochte captured his fifth gold medal on the final day of the world swimming championships with a performance that may help him stake a claim to being the best in his sport.
Until that happens, one has to marvel at the risks of a performance that may disconcert those for whom kingship comes with fixed notions of what it means to be regal.
I listen to the icicles melt; I take in the broad forest swaths of brown and grey, shadow and light; I watch the tops of the trees undulate like wind-borne dancers in a cosmic ballet that may or may not be random, a performance that may or may not be the stagecraft of some divine choreographer: Worship.
"Things don't always come out exactly the way he means," Pence said of Trump in a polished performance that may have given some hope to Republicans.
The 18-year-old, despite having a spell on the bench, won the man of the match award for a typical uncompromising performance that may well earn him a Britain debut in the coming weeks.
And under the direction of Anna D. Shapiro, Ms. Emery delivers a dizzyingly multifaceted performance that may be the finest of her estimable career.
At a stroke, there would be one less incentive for companies to give outsize rewards that are geared exclusively to a measure of performance that may not be in everyone's interest.
Finally – deus ex machina – everyone's boss Jeremy Irons (delivering a wonderfully baroque performance that may be from another film) swoops in by helicopter to exert his amoral judgement on the situation.
