Could you insert an additional wait step for 3 days from when the email is sent on Tuesday? This way you are on Friday and you can push to the following Thursday more easily.
I haven't actually tested this but it seems to me this should do the trick, give it a try?
Set the wait step to a minimum (1 min or 1 sec). Then use the option Must End On: in the advanced Wait step settings.
The flow will wait until Tuesday 10AM even if the Duration has already passed.