You can’t make one image look identical on every uncalibrated monitor, because there is no true “average monitor” profile. The best you can do is prepare the file for common web viewing and avoid edits that fall apart on poorer displays.

Based on the answers, the main fixes are:

• work in a calibrated workflow if possible; calibrate your display(s)
• export web images in sRGB, which you already did
• revisit white balance/color balance: this image likely has a green cast, especially in skin tones
• try auto white balance/auto color as a starting point, then fine-tune manually
• bias skin tones slightly away from green and toward magenta if needed
• reduce excessive contrast; strong contrast can make cheeks/highlights glow and shadows block up on cheap displays

Green surroundings can also reflect green light into facial shadows, so some local correction on skin may help.

In short: correct the color cast first, then tame contrast and saturation until skin looks natural on your main display and still acceptable on a second, ordinary one. That compromise is usually the practical goal for web portraits.