Op if you haven’t done anything suspicious or anything that violates Stake’s terms and conditions then you are good to get your money.
Normally with this much big amount almost all the site has security devices which triggers to review manually.
And as we can see the support agent also said that they are not 24/7 active now, so you too please wait for some time.
Stake has been here from very long and has very reputable owners. If you are legit in your work, then definitely you will be paid.
If you want to fasten the process, shoot a DM to Stunna here in the forum ( https://bitcointalk.org/index.php?action=profile;u=81292 ) , she might help you as soon as possible.
And yes keep us updated about the status of your case now.