Law Enforcement is often defined as "99% boredom interrupted by 1% sheer terror." It's not quite that bad, but there are a lot of routine little things. I imagine if you are patient, that should be no problem. Communication skills are vital to report writing. When you make an arrest, you have to be able to explain what you knew and when you knew it, leading to your probable cause. Officers with weak writing skills have problems. Oral communication skills are important for being able to quell situations. I have seen officers "charge in" and escalate things that really should not have gotten out of hand. So, yes, your strengths can help you to succeed in law enforcement.
However, there is a lot more to law enforcement. I notice you are also looking at medical careers. I think that is a wise choice. It has been my experience that many females who leave law enforcement go into the health professions, where they feel they can do more to help people.
best of luck!