Hello,
You will need to recreate the site from scratch as Basle and WoodMart are different themes.
You would better follow these steps:
Make the full backup of the Basel site, then export all the content via Tools > Export – Import.
Then reset all on the site and install WoodMart to the fresh WordPress installation. Configure the site as per your needs, you can upload a demo and create the site based on a demo that would be easier. As soon as you finish, delete all the demo content you do not use on your site and upload your content from
If you have any questions please feel free to contact us.
Best RegardsBasel.