You WILL regret getting a rooster! Do NOT get a rooster!
Unless you want her to be screaming all day. He will mate her over and over again and she won't have any feathers left on her head. Roosters, especially cockerels (under 1 year old) need to have about 10 hens each minimum in order to not have the girls over mated. I saw one of my cockerels hit up one of my pullets 4 times in a row in less than 1 hour one day. The hens have no say, they just have to squat and take it. And roosters need more space than hens. She would need a place to get away from him. And your neighbors definitely won't be happy because roosters don't just crow when the sun comes up. They crow to attract the ladies, to compete with other boys, and to warn of predators. I can often hear my roosters crowing at 3, 4, and 5 am! Anytime a sound disturbs them.
Sound like she enjoyed spending the day with you. Chickens who are laying or ready to will often squat when you quickly put your hand over their back. It doesn't mean she needs a rooster, just that she is mature enough to assume the position. I would think loneliness could come and go, I know it does for me. Maybe accentuated more by dreary days. But of course she will be happy while you are with her. Even though I have 48 chickens, many of the ladies will come hang out by my feet during the day. So they do appreciate our company as well! But I know you can't be there all the time. They do make chicken diapers... if you wanted to bring her in the house. Which I might consider doing until getting her a companion, when you have time to visit, not permanently. You can google it. There are several companies that make them. I've seen them between $15- $30 US. You might even be able to find directions for a homemade one! I have chatted with people who have used them with great success and usually for the same reason, having only 1 chicken. But sometimes because they need to separate for an injury or the likes.
A good rooster can be great. But you don't have the space. And they can easily become human aggressive. Oddly, the ones that are treated nicely and hang out on your lap as chicks are often the worst offenders. Because in the chicken world fear equates to respect. They will step out of your way and avoid you if they respect you. If they do not.... they may try to grab things out of your hands including your hen. They may face off with you and peck you. They may try to flog you when you walk past or even when you aren't looking. I recommend you avoid a cockerel or rooster like the Plague! I'm not sure if I stressed this point enough? But I'm sure you know I have nothing to gain and am only trying to help you and your girl be healthy and content.
Your egg count is probably still normal. Especially with new layers, which I still consider her... it's hard to tell what their consistency will be. Some breeds are not consistent at all. My first year raising pullets, I got like 21 eggs in a row, then one day off and another 14 in a row with one day off, 21 more eggs then nothing for a month. I am talking about 1 girl. My other two that year did the same approximate thing but never took a whole month off, usually just a day. They were 3 separate breeds and that was in the spring. The one that took a month off, I learned that she had no consistency and therefore never worried about it, she was an EE.