I am an insurance agent and I know they don't test for any kind of gear. The only thing you would have to worry about is if your cycle affects your blood pressure, cholesterol, liver enzymes, etc. I would get the insurance first just to make sure. An insurance rate up can be very expensive. They can rate you up for high blood pressure which makes you higher risk and it could end up costing you thousands more over the years. Just get the life insurance now and start the cycle after.
For example, I had a client who had a Monthly premium of $115 a month for $100K policy. She had ***ression so they rated her up. Her monthly premium went up to $235 a month...now calculate that difference over a lifetime of payments and see why to get it now.
Also, life insurance is attained age so the younger you get it, the cheaper it will be. Smoking or tobbacco use almost doubles your cost of life insurance. Avoid getting a term policy and get a whole life. It is way better in the long run. I can explain why if you need it but trust me you want whole life or Universal life at the very least. Avoid term insurance.