The correct verb form is ella consigue.
First, we present the complete list of conjugations of the verb "conseguir" in present tense:
yo consigo
tú consigues
vos conseguís
usted consiguen
él/ella consigue
nosotros/nosotras consiguen
vosotros/vosotras conseguís
ellos/ellas consiguen
According to this list, the correct verb form is ella consigue.
We kindly invite to check this question on sentences in Spanish: link