Here's how I understand what you said:
I don't understand <혐관>. Does <관계> have a positive sound in Korean? (I think you meant 의미, aka 'meaning'.) Then... <혐관> is similar to 'enemies' and I don't see 'lovers'. <적과의 로맨스> seems better.

My answer:
<관계> means 'relationship', and in fandom terms, it probably means 'romantic/sexual relationship'. If you're interested, both terms have a namu.wiki page with lots of examples (you can machine-translate them): 적과의 로맨스 / 혐관.