Query Results with the same parameters are cached for a week. In those cases you don't need to click the button Run Query. The query results are shown immediately.
If the query isn't cached, there is no option to run the query with just following a link. In this case the button Run Query need to be clicked. Anonymous users also need to solve the reCaptcha before they run a non-cached query.You need to query the votes tables (votetypes 1 (accept), 2 (up-mod), 3 (down-mod) and 9 (bounty) are of interest.
This query will probably do it:
select sum(case v.votetypeid
when 1 then 15 -- accepted
when 2 then 10 -- up vote
when 3 then -2 -- down vote
when 9 then v.bountyamount -- bounty earned
else 0
end
) [answer rep]
from posts p
inner join votes v on v.postid = p.id
where posttypeid = 2 -- Answers
and p.owneruserid = ##user?int:2377343##
and p.communityowneddate is null -- only non community wiki answers
and v.votetypeid in (1,2,3,9)