I know I harp on a lot about hyphenating compound nouns and compound adjectives, but if the sub-editor at the Sunday Times had used hyphens here it wouldn't have appeared (albeit briefly) as if young people were asking for reforms to create compulsory sex.
"... and drive through reforms to create compulsory sex- and relationships-education ..." would have been fine, unless Greening meant "... and drive through reforms to create compulsory sex-and-relationships education ..."; either way, the hyphen wins.
I could have written the previous-but-one paragraph to say "about hyphenating compound nouns and adjectives", but felt in danger of being hoist by my own petard so avoided it.