OK, here are the files you need to exclude...
Start Bitdefender and go to protection features ("view features" center right of the main panel).
Click on "threat defense" in the upper right "Advanced Threat Panel" This will bring up blocked threats and you'll find that ANSVR gives about 31 or so.
You need to put all those apps in the Whitelist. Click on the gear on the "Advanced Threat Panel" and it will bring up the Whitelist. Click on the "add application to the whitelist" and you'll get a file dialog box to add a file to the list. You need to do this for each file...no directories allowed. These are what I placed on the Whitelist and the local server now runs fine...
These files are in the c:\users\"USERNAME"\appdata\local\cygwin_ansvr\bin (under win 7)
under c:\program files (x86)\astrometry.net local solver
and I also placed a copy of the install file in the whitelist. The latest is:
As mentioned earlier, I uninstalled and reinstalled the local server just in case BD did something to the installed files when it quarantined them.
Hope this helps.