Hi,
I’m not sure which feature you are talking about for ‘web tailored audience’ - but if you mean a tailored audience created from a tag placed on a particular webpage, you need to know which tag represents each page and use the correct audience created from that tag.
Tailored audiences are created for web event tags with retargeting enabled flag: https://dev.twitter.com/ads/reference/get/accounts/%3Aaccount_id/web_event_tags
You will need to maintain information about which landing page URL maps to web_event_tag (and furthermore which tailored audience was created from which web_event_tag) on your end if that’s the information you want user to select from.
If this does not solve your question, please follow up with more information like a screenshot and your complete scenario.
Thanks,
John