*Lifts Eyebrow* You appear to be using an old version of the game.
But aside from that
You have no passive defenses (Armor and Shields). Any beam warship will need those. Your turrets also use the default tracking speed of 10,000 km/s while your fire control is only capable of tracking at 4,000 km/s. The weapons will use the worse one, so you will likely to be unable to hit incoming missiles.
The ship is also too slow, but that's in part because of the Hyper-capable engines. Hyperdrive is useful only in very specialized designs, unless you have extremely high tech levels.
The power generator appears twice as strong as actually needed by your systems.
You have 5 engineering spaces, and what looks to be 5 maintenance storage closets; this is very inefficient. Maintenance storage components are for support vessels pretty much. It's always better to use engineering spaces on combat ships.
Proposed action list:
Research a new Military Engine without Hyperdrive
Research new Laser and Meson turrets with 16,000 km/s tracking speed
Research a new Beam Fire Control that uses a 4x tracking speed multiplier.
Remove the Maintenance Storage Spaces
Remove existing engines
Add at least 1 new engine per 1,000 tons of ship
Add more engineering spaces
Add more armor using the 'armor thickness' control on the left.
Replace the turrets with the new turrets. I would suggest reducing the number of meson turrets from 4 to 2.
Remove existing fire controls; add 1 new fire control per meson turret, and 1 for the 4 laser turrets.
Remove plants until the power output is close to (yet above) the total power consumption of your beam weapons. For reference, your laser turrets use 2 power each and your meson turrets use 12 power each. So your current power consumption is 56. If you removed 2 meson turrets, you would have 32, requiring 3 of your current power generators.
Adjust number of engines to be about 1 per kiloton.
If you do all these things you will probably end up with a decent Point-Defence Escort.