"Safe Mode" restricts access. So while it should not delete any applications, it would stop you from being able to use them at all while in that mode.
To get out of Safe Mode, please try the following.
1. Touch and Hold the "Power" key.
2. Tap "Power Off".
3. Once the phone is off, Touch and Hold the "Power" key again to restart.
The phone should now be out of "Safe Mode".
If the "Safe Mode" is still running after you restart your phone, I would then check to make sure your "Volume Down" button is not stuck. Check to see if it has anything stuck in it as well, dust, etc. Anything like this can cause the phone to go into, and get stuck in, "Safe Mode".
If that doesn't work try this...
Use the "Status Bar" to turn off "Safe...