@celined1845719 Your display screen is not properly characterised by choosing either sRGB or Adobe RGB, so its unlikely to be accurate - ideally you need an actual display profile - try selecting a profile for your display by name - otherwise - even better - Xrite (now branded Calibrite) have a reasonably priced i1Display calibrator for this job.
The display profile doesn't affect printed output (so changing it doesn’t change prints) BUT the image appearance will change and thus lead the user to edit the appearance - THIS editingnof the image means that the printed appearance will change.
Your color settings panel looks OK
However - in the print dialog - sRGB is not your printer ICC profile (although some entry level printers, especially HP seem to be rather close to sRGB)
- So, you'll also need an accurate printer ICC profile. If you're using OEM media then the printer installation should have installed such profiles for you.
In Photoshop go to print and set the option to "Photoshop Manages Color" then choose the ICC profile named for your printer and media. I Next - in the print settings dialog it's important to select the same media by name also.
Your document (image) needs an embedded ICC profile too - look like it's Adobe RGB, that’s fine
More on all this here
try avoid Airprint - it's not actually using a printer manufacturer's driver. Maybe you have no choice but that will cause issues.
I hope this helps
neil barstow, colourmanagement net - adobe forum volunteer - co-author: 'getting colour right'
google me "neil barstow colourmanagement" for lots of free articles on colour management