[4][7] Singing the part of Sesto in McVicar's production of La Clemenza di Tito for English National Opera in 2006, Connolly was nominated for an Olivier Award.
[11] She made her debut as Fricka in Wagner's Der Ring des Nibelungen (Royal Opera House)[12] and earlier that year she sang Phèdre in Rameau's Hippolyte et Aricie (Paris Opéra at the Palais Garniér).
[15] During the 2011 Gustav Mahler celebrations, Connolly performed all of his vocal works in the UK and abroad with the Philharmonia and Maazel, the LPO and Jurowski and Nezet Séguin, the LSO with Alsop, the OAE with Rattle and the Leipzig Gewandhaus Orchestra under Chailly.
[citation needed] Connolly made the first commercial recording of Mark-Anthony Turnage's Twice Through the Heart with Marin Alsop and the London Philharmonic Orchestra having previously given the Belgian and Dutch premieres of the work with the Schoenberg Ensemble conducted by Oliver Knussen.
[16][17] Connolly's other commercial recordings include Schumann lieder with Eugene Asti for Chandos, "Songs of Love and Loss",[18] Korngold lieder with Iain Burnside, the Duruflé Requiem for Signum and Purcell's Dido and Aeneas with the Orchestra of the Age of Enlightenment[19] for which she raised the funds and selected the cast for the recording.
[21] In July 2019 she announced temporary leave to undergo breast cancer surgery withdrawing from upcoming performances in BBC Proms and Orpheus and Eurydice with English National Opera.