This petition was rejected

The Government e-Petitions Team gave the following reason:

We can't accept your petition because the UK Government and Parliament aren't responsible for the issue you raise. This is a local planning decision which is the responsibility of your local council.

You could raise your issue with a local councillor, who represents you. You can use this page to find out who your local councillors are, and how to contact them:

www.gov.uk/find-your-local-councillors

If an application is made for the development to take place, all local residents have the right to request that a planning application be ‘called in’ by the Department for Communities and Local Government. This means that it will assess the planning application against certain criteria and decide if a full inquiry is needed. For more information, including the criteria and how to request the call in of a planning application, see:
 
http://researchbriefings.files.parliament.uk/documents/SN00930/SN00930.pdf

In any case it appears that your local council may have already objected to the proposal: http://www.barrytowncouncil.gov.uk/Documents/Uploaded/446-Document-November-2016.pdf