London Assembly victor Jennette Arnold said having Boris Johnson in charge would not make any difference to her work as member for London North East.
Mrs Arnold's constituency covers the London boroughs of Waltham Forest, Hackney and Islington.
The Labour Party member has enjoyed a good relationship with former Labour Mayor Ken Livingstone since they were both elected in 2000.
Mrs Arnold has retained her North East constituency seat.
But she said Mr Johnson, who is busy replacing Mr Livingstone's staff with his own, would have to respect her electorates' concerns.
She said: "I've promised that I'll be working for them to ensure that we get policing and community safety and proper resources for our young people, and that they get adequate homes that are affordable."
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Speaking at the count at Alexandra Palace on Mrs Arnold said: ""I say whoever is Mayor, I have been given a mandate and I expect the Mayor to respect that and to work with me."
The 59-year-old, who has been London North East's constituency member since 2004, responded to a hot campaign issue both the Tories and the Greens exploited - Londoners' increasing unease about the Olympics.
Politicians from both parties had said that people on the doorsteps were concerned about being priced out of their homes, squeezed out of job opportunities and losing green space such as Hackney Marshes.
But Mrs Arnold, who was the GLA's lead member during the bid for London, said she wanted to reassure people that the Games would be good for the east of the capital.
"I represent two Olympic boroughs and I'll be working to make sure that we get the Olympic legacy," she said.
"Let's be real, when we look at what we'll get, we'll get the largest green space in Europe. We'll have a fantastic park there.
"We are also going to get the skills coming out of the jobs being created."
She expressed her excitement about being part of the final run up to the Games in 2012, but could not be sure if she would have as much influence as before, especially as a member of the committee on the Cultural Olympiad.
"I haven't got a clue what will happen now," she said.
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