What would a setting without fusion power look like? No sustained, useful /economically viable fusion reactions outside stars.
What if it didn't look that different?
It's theorized the Romans never advanced as much in realms such as automation and other labor-saving devices because the ready access to slaves made it unnecessary to develop. There's more solid evidence that during certain times in China, after wars and plagues, textile weaving in had various automation and labor-saving devices due to the shortage of workers. However, as the population bounced back, these devices stopped being used because it was cheaper to just use the more plentiful human workers.
Overcoming limits is the major impetus to the development of technology. Traveller computers, grav plates, and other currently power-hungry devices would become more efficient as they don't have the crutch of fusion power. Certain power hungry devices likely would not be possible. Like even with more efficient grav-plates, there might be practical limits to how much weight they could support or for how long, leading to some sort of upper limit to how large of a starship could make interface landings/takeoffs. This might truly justify the idea of "lighters" or similar smaller vessels to unload merchants that remain in orbit; large ships might be able to make liftoff using "tugs" which would be ships with enormous banks of capacitors, perhaps. Anti-gravity cities and floating palaces would likely no longer be a thing.
The power requirements of Traveller lasers suggest they they are some sort direct-power system. It's more likely without fusion power to supply their enormous power needs, lasers would be chemical in nature, requiring one-use cartridges; in their function at the abstract Traveller game level, their effects probably wouldn't change.
Obviously, fusion guns would vanish. I'd actually hazard to guess that plasma guns might vanish as well, but perhaps not.
Overall, I think Traveller would lose one of the things that make it the "magical space opera future" if you lose fusion. If this is a good or a bad thing to you is up to you.
Of course, intermediate versions of this are possible. Like what if fusion is possible, but practical fusion for power generation only exists in huge, static reactors. A 200 dton ship isn't going to have fusion reactor. Certainly not a grav tank. Battleships might be huge simply because they're the smallest vessel that can fit a fusion reactor in it.