ToME: the Tales of Maj'Eyal

One way to shore up an early game Psyshot.
Unlock the 'Avoidance' tree.
Get that second steam implant even if it means replacing an injector.
Get 3+ pts in Molten Iron Blood and Automated Cloak Tessellation, each.
The key to Psyshot defense here, is the powerful combination of high resist plus flat damage reduction.

IIRC, I went from 'its got to be 5pts immed' to 'oh well, mb 3 is enough at the start', after a few plays.

GL.

Link to your Psyshot build pl0x?
Otherwise it will be difficult to give advice on what you lack and what you need, although smithfield's suggestions above should be a good start.
Also there are a couple of Psyshot builds already posted, so you might want to read some (or all) of them to figure out what you'd need for your build.

You should be making sure you have 2 injectors, and maxing cloak tessellation, molten iron blood, and mechanical arms and put 4 points into no hope; get avoidance before dread, and also max mind injector; dread can probably wait for 34 so you can take an inscription at 10 or 20
no hope is basically a stun that you can't be immune to

Solid tips! That Avoidance + Molten Iron Blood combo really makes early Psyshot way more survivable. Definitely saved me a few runs!