Sarah Finch, from Redhill, is challenging Surrey County Council’s decision to allow the Horse Hill well to be extended.
A High Court judge last year dismissed her argument that the council failed to consider the full climate impacts of burning oil from the well.
Lord Justice Lewison granted permission for Ms Finch to appeal the ruling.
In December, Mr Justice Holgate said the local authority was right to consider that emissions from the combustion of refined fuels “were not an environmental effect of the proposed development”.
Granting permission to appeal, Lord Justice Lewison said: “Although the judge’s reasons for this conclusion are cogent, they are open to proper challenge; and in view of the importance of the question, I regard this as a compelling reason for the appeal to be heard.”
Ms Finch’s legal team will argue that the judge was wrong to rule that the wider impact of burning fossil fuels was outside the scope of the environmental impact assessment carried out by the council before granting the planning application.
“If we want to be world leaders in avoiding dangerous climate change, we need to make sure our planning decisions are in line with our climate targets and that processes such as environmental impact assessments are used to properly assess the full carbon impact of fossil fuel projects,” she said in a statement.
Surrey County Council has been contacted by the BBC for comment.
A date for the next hearing has not yet been set.
If you have news for Sussex and Surrey, contact us on news@susyradio.com