Would putting in a relay while my car(1990 Toyota Camry V6 dlx) is running cause the relay to blow out?

The auto shop put on a headlight switch for me, I though that was why my lights weren't working but they realized I needed a multi function switch and they said that's what burned out my headlight, so he hooked my switch up where when I needed headlight all I had to do was put the relay in and they would work until I could get the multi function switch, it worked when I initially did it, but yesterday I did it with the car running and the lights didn't come on

Meant to say the multi function switch eventually burned out the headlight switch

So you think that that multi function switch might of already damaged the new headlight switch that got installed?

The headlight switch still turns on the park and rear lights and I checked the fuses under the hood for The left and right headlights

Ok thanks for the help

Yeah I tested the slot for the head relay yesterday with a testlight and it was good

The switch is installed and in the bright lights position, I can't move it back to dim cause from what the mechanic said the clicker/multifunction switch is broke/stuck so he set it up where as when I need the headlights on I just put the head relay on but when I'm not driving and the car is off I have to take the relay out otherwise the headlights will stay on, when they didn't work yesterday I assumed I blew the relay because I put it in while the car was running

From what I know the relay isn't rigged, I know that before my old headlight switch went completely out the only way I could get headlight was by pulling the switch toward me as if I were flashing my brights, I know in the regular position its the dims, and if I push it toward the dash from the regular position thats brights, and if I pull it towards me from regular position that's just to flash brights, the new switch is in the brights position from what I can tell, can't move it back or forward

The head relay and I don't know I might be able to get that multifunction switch fixed Monday, I was jus curious if me putting in that relay while the car was running blew it out, cause that was the only way I had headlights until it gets fixed

Aww ok thanks for the help, thought I screwed up by putting the relay in while the car was running, definitely will give u guys a donation when I get some money, your awesome