Unless mySQL and T-SQL (what's T-SQL?) are very different from Oracle, I think you mean this:
SELECT DISTINCT min(tmp.escore) as escore, tmp.org_id
FROM (
SELECT id2, escore, org_id2
FROM blast, protein
WHERE id1 = id
AND text_id = ?
UNION
SELECT id1, escore, org_id1
FROM blast, protein
WHERE id2 = id
AND text_id = ? ) tmp
GROUP BY tmp.org_id
If I knew what columns belonged to which tables I might be able to offer more advice - without that information, I get a headache every time I try to visualize what's going on here...
Update
With the WHERE EXISTS, you end up selecting from the original blast and protein tables if the subselect returns any rows, when what you want to do is select from the subselect results.
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