Not sure, but I'll take a shot at the answer:

Shotgun

Line 1:

shot + gun

Title + Hint 3:

With no 't' - the symbol of time - in the answer, we get shogun: Shoguns were military dictators appointed by the emperor in Japan, but became de facto rulers over time.

Hint 1 + Lines 2 and 5:

A "gun" such as a soldering gun is an applicator of sorts.
But not clear to me how it relates to lines 2 and 5.

Hint 2 + Lines 3 and 4:

Line 3: Taking a shot means taking a chance.
Line 4: no idea; related to a shot of liquor, perhaps?

Hint 4:

No idea ... There's a film titled "Loves Her Gun" (hadn't heard of it before)

Hint 5:

Shotgun fire spreads out (by different amounts depending on the type of shotgun)

Hint 6:

Evidently more dangerous at closer range before the shot spreads

Line 6:

Guns are a sign of battle

Not sure, but I'll take a shot at the answer:

Shotgun

Line 1:

shot + gun

Title + Hint 3:

With no 't' - the symbol of time - in the answer, we get shogun: Shoguns were military dictators appointed by the emperor in Japan, but became de facto rulers over time.

Hint 1:

A "gun" such as a soldering gun is an applicator of sorts.

Hint 2 + Lines 3 and 4:

Line 3: Taking a shot means taking a chance.
Line 4: Related to a shot of liquor, perhaps?

Hint 4:

There's a film titled "Loves Her Gun" (hadn't heard of it before)
EDIT (with the help of OP and Wikipedia): Calamity Jane was a gunslinger, and also appears in Lucky Luke

Hint 5:

Shotgun fire spreads out (by different amounts depending on the type of shotgun)

Hint 6:

Evidently more dangerous at closer range before the shot spreads

Line 6:

Guns are a sign of battle