Sickness period late?

We are TTC and I’m now 2 days late. Most women would be jumping on it to test but I’ve been so sick since yesterday I honestly haven’t felt like taking a test even tho we are so excited to find out if we’re pregnant.

But my question is, could a sickness, like the flu or strep make your period late or is me being late a pretty good sign??

Do I have to test with first morning pee now that I’m late? We get up at 5am and that’s the last thing I’m thinking about 😂