Attracted to a married woman twice my age. is it normal?

I'm 22, she's 45. I'm a student, she's at the peak of her career. She's married and has a daughter. I met this woman while I needed some help regarding an issue. Someone gave me her number telling me she might be of help. We talked on the phone for 2-3 days and my issue was solved. After a while, she invited me at an informal meeting at her home, of like-minded people. That was the first time I met her. I was overwhelmed with her beauty and intelligence. We talked and I came back home at 3 pm thinking about her. At 9.30 pm, she texted me saying "It was great meeting you :)". I texted back. She lives alone as her husband and daughter live in another city because of the husband's job.

In the weeks that followed we talked over the phone, texted, I attended more meetings and got a bit involved in her organisation. We texted at night, talked some fun stuff, but nothing directly sexual. Though she has sent suggestive texts but I'm not able to understand how she feels about me.

But things go beyond this. Initially it was she who always started the conversation or texting session. But now, she's on my mind all the time. I think about her when I go to sleep, she's the first thought when I wake up. Her beauty, intelligence, her maturity, no girl of my age can match that. I'm obsessed with her. I dont know what to do. Some may say I'm in love, but the thought of that is scary. In the meetings, I cant stop staring at her, I think she noticed it a few times. For me, she's the only person in the room, rest dont matter. Is this normal?