It’s definitely too early to know how it might play out but according to Ballotpedia Arizona elects Senators with a plurality of the vote (no runoff elections) so it may be easier for her to get a relatively small portion of the electorate but still act as a spoiler.
I guess the good news is that right now more Republicans like her than Democrats do, so it’s conceivable that she could act as a spoiler for the Republican candidate.
