You are miles better than that.
The CVST risk linked to contraceptive pill is known since decades.
AZ risk is brand new and we still have to learn a lot, and what a good scientist does is facing the problem in detail and transparency (in free countries, like UK) and then finding the best solution.
IF there is a risk, why not give AZ to people with a much lower CVST risk like older age group or younger men, while giving other covid vaccines to younger women? Just an idea.
Btw, after AZ being opened up to the 60+ we have seen a RUN only in North-Rhine Westphalia yesterday with 200k+ new AZ vaccination dates within 1o hours with the website crashing due 25m hits...
Many people are aware of a positive AZ risk profile and eager to get jabbed. Communication is key.
Hiding problems under the carpet is not what science should do.