Viewers have seen Jean reach rock bottom this week as she has struggled to prove that scheming Michael Moon (Steve John Shepherd) has conned her.
Speaking in a rare live TV appearance on Lorraine this morning (June 8), Wright said that she was delighted to be given such an emotional plot.
Pictured: Gillian Wright on Lorraine.
Wright commented: "This [story is] quite special, I think - it's the longest one I've ever had, but also it's taking advantage of someone with bipolar and making them feel like they are losing the plot - that's a tough story."
She continued: "The storyline goes on for some time, which is great. And to reassure the viewers, Jean doesn't stay a victim and she does fight back - I hope with courage and with dignity."
Wright also spoke about the challenge of portraying Jean's bipolar struggles, confirming that she sees it as a "huge responsibility".
Discussing her early research for the role of Jean, she explained: "I spoke to my doctor, I did a lot of reading about it, and the BBC also gave me a specialist bipolar consultant to talk to whenever I wanted, who was always on side.
"But I did a lot of research on the internet. You know when you go on the internet and you sort of find yourself weaving around? I ended up reading somebody who kept a diary every day of her bipolar journey, and that was fascinating.
"It's a huge responsibility, but I love it. And all I want to do is play it as truthfully as I can. I don't want anyone sitting there at home who is either party to bipolar, or has bipolar themselves, flinging stuff at the television saying, 'It's not like that'."
EastEnders fans see Jean's story continue this evening (June 8) as she confides in Kat and Alfie about the missing money at The Vic.