The article runs high on emotion but rather low on fact.
"I've heard that the fact that it may promote promiscuity is the main objection to its availability."
"I've heard?" That's no source! This article is working around this assumption, which may not be true. Aborting a pregnancy (the morning-after pill is an abortion) can have profound effects on the body, and it is entirely possible that the pill may have some previously unknown dangers, outside of the political issues.
Since this will probably be an abortion thread, I must state that I oppose abortion on a libertarian basis: that is, abortion works against the rights of the unborn individual.