No law prevents me marrying policewoman

That's correct! In most countries, there is no law that prohibits a person from marrying a police officer or any other individual, regardless of their profession. Marriage is a personal choice and a legal contract between two consenting adults, and it is not regulated by laws that discriminate against certain professions or occupations.

However, it's important to note that there may be some ethical or professional considerations that could potentially impact a police officer's ability to marry or maintain a relationship with someone who is involved in a particular activity or has a certain occupation. For example, a police officer may be required to disclose their relationship with someone who is involved in a criminal activity, or they may be subject to certain conflicts of interest or ethical dilemmas.

Ultimately, the decision to marry or enter into a romantic relationship with someone is a personal choice that should be based on mutual respect, trust, and compatibility, rather than on any external factors or considerations.