Hope someone can help…

40 years ago in my late teens l had a drug addiction and committed fraud from my employer (£1000) l was given a 24 month suspended sentence.

My first and last criminal offence, followed me around like a dark cloud my whole life. I’m still ashamed. I’ve worked all my adult life apart from raising my kids. At 60 years of age l need to go to work before l go mad but every job l see requires checks… am l right in thinking that my conviction will show up despite the fact it was 40 years ago??

Thanks in advance…