I don't think you would get a real pair if you tried to put a Scott's and a Lineatus together. What you would probably get would be that the more dominant fish would become male first and it would dominate the other fish, preventing it from becoming male -- except in very large tanks.
How large is your female Scott's now? Is she a Cooks Island variant or an Australian?
My experience was that several years ago I ordered a pair of gorgeous Australian Scott's but the male didn't survive, just the female. I think it was mainly because it turned cold the night they shipped it from Dallas (just 500 miles away) and the box may have been left outdoors for some period of time. The male that died within hours after I got him was 5.5" long. The female that survived was about 4.5" long when I got her but she grew another 1/2" during the next 30 days or so.
The vendor shipped me a replacement supermale five weeks later. It was about 5.5" long. All hell broke loose in my tank after it was introduced. Apparently my female turned male while she was alone in the tank without a male. It took 10 months for things to settle down but I ended up with two male Scott's in a 120-gal tank. I also had a female Lineatus and she remained female due to the presence of the dominant male Scott's. Between the two male Scott's, the original one (originally female) was the dominant male of the two Scott's. Neither of my two Scott's was interested in the female Lineatus at all.
I wouldn't wish that experience on anyone.
Scott's are one of the more aggressive of the fairy wrasses. For that reason, I would pair your present one with another Scott's -- either another female (slightly smaller) or a male that is considerably larger. Just don't let a lot of time slip by before you do it -- the sooner the better.