Originally Posted by saxitoxin
Any way to fix this without using animGroup and rotate

Maybe, maybe not. Since it is a round texture with something close above you may see a portion you don't want since you are basically rotating a square (tex coords) around a circle.
Code:
local pi_4 = math.pi / 4
local cos, sin, sqrt = math.cos, math.sin, math.sqrt
local function SetTexRotationWithCoord(region, radians, L, R, T, B)
radians = pi_4  radians
local Cx, Cy = (L + R) / 2, (T + B) / 2
local Z = sqrt((R  Cx)^2 + (B  Cy)^2)
local Zcos, Zsin = Z * cos(radians), Z * sin(radians)
region:SetTexCoord(Cx  Zsin, Cy  Zcos, Cx  Zcos, Cy + Zsin, Cx + Zcos, Cy  Zsin, Cx + Zsin, Cy + Zcos)
end
Quick little test addon (mouse wheel to rotate):
Code:
local TEXTURE = [[Interface\Artifacts\ArtifactUIHunter]]
local L, R, T, B = 3/1024, 209/1024, 688/1024, 892/1024
local WINDOW_SIZE = 256
local pi_4 = math.pi / 4
local cos, sin, sqrt = math.cos, math.sin, math.sqrt
local function SetTexRotationWithCoord(region, radians, L, R, T, B)
radians = pi_4  radians
local Cx, Cy = (L + R) / 2, (T + B) / 2
local Z = sqrt((R  Cx)^2 + (B  Cy)^2)
local Zcos, Zsin = Z * cos(radians), Z * sin(radians)
region:SetTexCoord(Cx  Zsin, Cy  Zcos, Cx  Zcos, Cy + Zsin, Cx + Zcos, Cy  Zsin, Cx + Zsin, Cy + Zcos)
end
local frame = CreateFrame('Frame', nil, UIParent)
frame:SetPoint('CENTER', UIParent:GetWidth() / 4, UIParent:GetHeight() / 4)
frame:SetSize(WINDOW_SIZE + 8, WINDOW_SIZE + 8)
frame:SetBackdrop({
bgFile = [[Interface\BUTTONS\WHITE8X8]],
edgeFile = [[Interface\Tooltips\UITooltipBorder]], edgeSize = 16,
tileSize = 16, tile = true,
insets = { left = 3, right = 3, top = 3, bottom = 3 }
})
frame:SetBackdropColor(0.05, 0.1, 0.15, 1)
frame:SetBackdropBorderColor(1, 1, 1, 1)
frame:EnableMouse(true)
local texture = frame:CreateTexture(nil, 'ARTWORK')
texture:SetTexture(TEXTURE)
texture:SetSize(WINDOW_SIZE, WINDOW_SIZE)
texture:SetPoint('CENTER')
do
local pi_16, rotation = math.pi / 16, 0
frame:SetScript('OnMouseWheel', function(self, delta)
rotation = rotation  delta * pi_16
SetTexRotationWithCoord(texture, rotation, L, R, T, B)
end)
end
SetTexRotationWithCoord(texture, 0, L, R, T, B)