1) Closed BiblePay wallet (I am on Windows 10)
2) Made backup of my wallet.dat from %appdata%\BiblePay
3) Removed BiblePay wallet from my computer
4) Renamed (and didn't remove, just in case anything went wrong) the directory %appdata%\BiblePay
5) Reinstalled BiblePay wallet
6) Started BiblePay wallet, which recreated the directory %appdata%\BiblePay
7) Waited to synchronize

Closed BiblePay wallet
9) Copied my original wallet.dat back to %appdata%\BiblePay
10) Started again BiblePay wallet
Everything seems to be working now.