Hi. It is normal for heart rate to go up with any kind of emotional stress or physical activity. If your pulse rate at rest is persistently above 100bpm you could check your
thyroid profile and Hb. As anaemia and thyroid issues can cause that.
If you have no other symptoms and reports are normal, start exercising regularly. Regular physical activity brings down the resting pulse rate and improves exercise conditioning. So even with stress and physical activity you won't have exaggerated and disproportionate rise in pulse rate.
Next Steps
If you need further clarification/or have other symptoms consider consultation