ɪn nˈaɪntiːnhˈʌndɹɪd nˈaɪnti wˈʌn, dʒˈɛni plˈeɪd wˈeɪtɹəs lˈiːnə ɪn ɹˈɪdli skˈɑːts θˈɛlmə ænd luːwˈiːz; ðə fˈɑːloʊɪŋ jˈɪɹ, ʃiː ɐpˈɪɹd ɪn ɐmˈɛɹɪkən hˈɑːɹt, ɐ fˈɪlm wˌɪtʃ ˈɜːnd hɜːɹ ɐn ˌɪndᵻpˈɛndənt spˈɪɹɪt ɐwˈɔːɹd fɔːɹ bˈɛst səpˈoːɹɾɪŋ fˈiːmeɪl.
In 1991, Jenney played waitress 'Lena' in Ridley Scott's Thelma & Louise; the following year, she appeared in American Heart, a film which earned her an Independent Spirit Award for Best Supporting Female.