Using extractor cooker hood/vent for AC extraction

[ToBloodyHot]

Hi all

Have tried to find answer to this else where am not a AC or refrigeration installer. After a seriously hot summer and living in property for last few years that gets seriously warm and humid I'm pretty desperate to find some sort of air con solution. I live in block of flats with large awning windows that don't provide easy aesthetic solution to mobile air con. The other thing I have thought might be solution (See attached photo) is take cooker vent off ceiling and mount air con to wall and vent through this. Is this possible? Would there maybe be an issue with pressure from air con being to much and possibly blowing motor or causing any other issues? Thanks