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Pull My Hair Back has a score of 79 out of 100 on Metacritic, indicating "generally favorable reviews".[1] In a review for Resident Advisor, Derek Miller referred to it as "seemingly effortless" and "almost skeletal", with an "incredible spaciousness" and "soothing" vocals, ultimately recommending it as "certainly one of the year's best debuts".[2] Tim Gentles agreed, writing for XLR8R that it was "one of the strongest debuts of the year", praising Lanza's "almost weightless" voice and the album's overall sense of balance and restraint.[3] Jamieson Cox also praised the restraint in a review for Pitchfork, although he expressed interest in what would happen if she "unleashed the considerable chops that occasionally shine".[4]