Deletion decisions are made by editors, not admins. See, for example, the decision referenced by the author: https://en.wikipedia.org/wiki/Wikipedia:Articles_for_deletio...

> It takes hours to create a new article and seconds to delete it.

I think the "seconds to delete it" process you're describing is PROD[1], which is for "non-controversial" deletions and there's no appeals process—it can be added back with no justification at any time if any editor disagrees with the deletion. The full deletion process that takes time to appeal is "Articles for Deletion,"[2] through which articles are deleted only through 7 days of consensus-building. This is the process "Bruce Faulconer" went through.

I know it's confusing, and often really frustrating. I'd encourage you to try contesting your PROD deletion if you're willing to give it another try, because it really will bring the article back instantly. It can be difficult for new editors, but users of this forum are a bit better than the average person at source editing.

[1] https://en.wikipedia.org/wiki/Wikipedia:Proposed_deletion

[2] https://en.wikipedia.org/wiki/Wikipedia:Articles_for_deletio...