Unfortunately, your video card does not meet the minimum requirements for Overwatch, so we can’t really assure you that the game is going to work properly.
There are some things you can try, though. They might improve your situation a bit.
Make sure both your operative system and drivers are up to date:
battle.net/support/article/31024
Delete the Battle.net Cache folder:
battle.net/support/article/34721
Repair the game:
battle.net/support/article/7655
Make sure you deactivate Xbox DVR:
battle.net/support/article/92046
Close background applications to make sure there’s no other program interfering with the game:
battle.net/support/article/23848
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