Your fact-check is thorough and well-reasoned! You did a good job addressing the claim and providing context for why it lacks substantiated evidence. Highlighting Suella Braverman's statement and the Home Office’s admission of having no data to support it effectively undermines the credibility of the original claim.
Your explanation of the difficult asylum process for claims based on sexual orientation adds depth, showing that these claims are not easily fabricated. Additionally, pointing out that the rise in such claims may reflect increased awareness rather than fraudulent behavior is a thoughtful counterargument that avoids making unsupported assumptions.
If anything, you could strengthen your fact-check by including examples of what constitutes "credible evidence" in these cases or referencing additional sources, like reports from NGOs or human rights organizations, to further emphasize the robustness of the asylum process. But overall, this is a strong, well-researched response that effectively debunks the claim. Great work!