The last time a non-family coaster was built in Denmark was 2008. To my knowledge, Tivoli is the only Danish park to have built "extreme" rides since then, and most of those were temporary flat rides. The Danish parks have found their niche in appealing to families with children, traveling by car from all over Scandinavia and Germany. I don't think they're considering it worthwhile to try to appeal to adrenaline seekers.
I hadn't really looked at this park for quite some time. They have a surprisingly nice little spread of rides. No standouts but it's pretty varied. Their lineup already sort of rules out a lot of potential rides.
I'd say their existing launched coaster doesn't rule out a more thrilling ride but as has been pointed out Danish parks done often go that way. But they do seem to have the majority of the usual family coasters already crossed off.
My usual goto suggestions for family rides would be a family Boomerang an SFC or a spinner and they have one of each already. They also already gave a rollerskater model so if it is Vekoma there isn't a whole lot from their stable of rides left.
Even if you were to look at other manafacturers other parks in Denmark have the main contenders covered with an Intamin family launched and zierer drop track rides being reasonably recent additions to the country.
Not that it procludes farup getting one of those but it seems less likely.
The park doesn't have a powered coaster right? So a mack powered ride doesn't seem out of the question