@cthelight7 Hey there, just wanted to chime in with bit of personal experience regarding eating/lifting. I'm currently your height but lower weight.
Prior to my starting lifting, I would typically eat anything from 1200-1600 calories and that was enough for me doing nothing but walking 20-30 mins a day (to get to class). I maintained my weight eating like that for years - not purposely, that's just how much my body seemed fine with and I never really felt hungry. (I tracked this eating a month prior to starting lifting, to get a baseline.)
When I started out lifting (about 2 years ago), I put my activity goals into a couple calculators and they told me I needed to eat 1900-2100 calories a day. I was astonished! But gradually, I added more food during meals, ate larger portions or had more snacks - and lifting actually made me really hungry, which helped with increasing my calorie intake. And I felt the difference at the gym too, when I worked out after eating more the day before vs eating less. I then purposely chose to eat at the higher end of the suggested range as my goal, because I wanted to gain weight (I had been underweight, knew that gaining would increase my baseline strength capacity, and help me reach my strength goals.)
Now, I'm about 10 lbs more than I weighed then, lifting 3x a week. To maintain my weight at this activity level, my caloric intake should be about 2000 calories. My eating habits haven't been as consistent as they were a couple months ago, and I've seen my performance in the gym suffer some as a result. Food is fuel, and my body knows what it needs. I felt so much stronger and more consistent in the gym, when I was eating more a couple months ago. (And I've been at my current weight for a year.)
While our bodies are not exactly the same, I want this to be an example that eating more can be good and healthy for your body. Despite the messages that we get from society, others, and our own insecurities and fears. More food can help you reach your goals to gain strength and develop defined physique.