Crewmeal,
Frist Choice Airways certainly aren't dropping any BJV flights...
FCA will be operating at least 13 weekly Bodrum flights this summer - 3 each from LGW and MAN with the balance operating from LTN/GLA/CWL/STN/BHX/BRS/BFS. There is also a significant 3rd party programme program mainly operated by Pegasus/Onur Air out of the likes of EXT/EMA/EDI/HUY/NCL.
Don't know why flights to BJV didn't appear on the website when you looked. I've just had a look and they're certainly there and bookable online now at
First Choice Flights
Since FC have a large Turkish program and Turkey-specialist Sunquest is part of the FC group, Bodrum flights aren't at any risk of being abandoned.
Regards
D_L