2 Timothy 1:7...
For God hath not given us the spirit of fear; but of power, and of love, and of a sound mind.
The word for "fear" in the verse above is not referring to general fear as it is commonly known. The word in the original greek language is not 'phobos' (foboV) but rather is 'deilias' (deiliaV) which means "cowardice". God has not given us a spirit of cowardice.
The actual context of the words of 2 Timothy 1:7 refers to partaking in the difficulties of the work of sharing the good news of the free gift of salvation and not to wimp out.
2 Timothy 1:6-9
Wherefore, I put thee in remembrance that thou stir up the gift of God, which is in thee by the putting on of my hands.
For God hath not given us the spirit of fear; but of power, and of love, and of a sound mind.
Be not thou therefore ashamed of the testimony of our Lord, nor of me his prisoner: but be thou partaker of the afflictions of the gospel according to the power of God;
Who hath saved us, and called us with a holy calling, not according to our works, but according to his own purpose and grace, which was given us in Christ Jesus before the world began.