Try this formula in cell E1 and copy down:
Formula:
{=AVERAGE(IF($T$1:$GI$1<=TODAY(),IF($T$1:$GI$1>TODAY()-10,IF(NOT(ISBLANK($T3:$GI3)),$T3:$GI3))))}
It's an array formula so make sure it has the curly braces { } at either end when it's entered into the cell.
It averages rolling 10-day average of scores, excluding blanks. Note that it includes today's score in the 10 days. If you want it to look for the 10 days up to yesterday, then you want this formula:
Formula:
{=AVERAGE(IF($T$1:$GI$1<TODAY(),IF($T$1:$GI$1>=TODAY()-10,IF(NOT(ISBLANK($T3:$GI3)),$T3:$GI3))))}
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