I think the sympathy vote she's alluding to, is that she has 'Marfans Syndrome' - the reason she is so tall and at risk of other health issues. She has spoken about believing this is the reason she has been bullied, excluded and isolated most of her life.
I think that she notices these dynamics happening again in the house, depicting certain HM's as bullies and herself the victim. Never a winning strategy in life, IMO.
I don't think she has insight into the fact that it is her personality traits that are in question amongst the HM's and is mis-reading how the public are viewing her and the situation.
I have empathy for her, and also the Marfans Syndrome Support Groups, who I've read have been excited about having one of their own represented in the house and the hope that this will bring more focus and understanding about the syndrome.
I'm not a Gemma fan. I'd love to see Travis evicted first, one, because he mortifies me with his arrogance and ignorance, and two, because I believe Gemma being evicted first could send her into a negative psychological spiral and solidify her insecurities and deepen already poked at wounds.