I still have Opera 5(? - maybe 4?) on my Thinkpad 365. It's a 5x86/100 with 24MB RAM. I haven't tried to browse with it in a long time but it used to work well enough back when I used it as my every day laptop (early 2000s~2005.)
In other words, the browser itself will run fine with that hardware, but the modern web may not run so well on the browser. Worth giving it a shot to see how it does though. 😀
Opera during that time was known to be very secure - because it just plain didn't run most of the client-side scripting that allowed malware in. No Flash, no ActiveX, no Java, only very limited Javascript. I'd be more concerned with protecting the OS itself than the browser.
twitch.tv/oldskooljay - playing the obscure, forgotten & weird - most Tuesdays & Thursdays @ 6:30 PM PDT. Bonus streams elsewhen!