Connections of The Fugue will wait until the weekend before deciding whether to let the multiple Group One-winning mare take on the colts in the Prince of Wales's Stakes at Royal Ascot.
John Gosden's five-year-old finished third in the 10-furlong contest 12 months ago before going on to land the Yorkshire Oaks and the Irish Champion Stakes.
She was narrowly beaten at the Breeders' Cup and in the Hong Kong Vase at the end of the year, but ran the most disappointing race of her career on her five-year-old debut in the Dubai Duty Free at Meydan at the end of March.
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Simon Marsh, racing manager for owners Lord and Lady Lloyd-Webber, said: "No decisions have been made yet and I think we're going to wait and see how she works tomorrow and on Saturday. We've also got our eye on the Pretty Polly Stakes in Ireland [June 29], but we'll see how she is in the next week and decide whether she should run at Ascot.
"It will be down to John, but I would imagine she will be left in the Ascot race at the five-day stage. She's incredibly well, John couldn't be happier with her and we're just putting a line through the run in Dubai. I think we probably ran her in the wrong race.
"She wouldn't have run up to now [in Britain] anyway because of the ground. She likes top of the ground and hopefully we've got some nice weather on the way."
Gosden is delighted with the way Taghrooda has come out of her win in the Investec Oaks last week. The filly maintained her unbeaten record in fine style, spreadeagling the opposition and providing her sire, Sea The Stars, with a first Classic win in the process.
Gosden feels she has inherited plenty of her father's traits, as well as a lot of his ability, and believes his laid-back nature is evident in this filly. "She's fine, she's been out for a canter since and I'm very happy with her," said the Clarehaven handler.
"It went picture perfect - we had the draw, sat in fifth or sixth one off the fence coming down the hill. She did get a nasty bump which put her on to the wrong leg, but he [Paul Hanagan] gathered her up, and that just made her keen for a stride or two.
"Her recovery has been good. She's a lot like her father. I remember seeing him both at York and in the Irish Champion and both of those winner's enclosures are on grass and both times Mick Kinane jumped off and he put his head down and started grazing.
"That is pretty amazing after winning a mile-and-a-quarter Group One. I trained his father, Cape Cross, and he was similarly laid back which for a Green Desert was pretty unusual."