All the places in the world are safe to travel for a solo women until you are taking proper precautions while traveling. I have many women friends who travel solo. Use offline maps, offline language translation, ignore less crowded place etc. As this is your first solo trip, opt for a touristy destination, so that you can make yourself comfortable initially and then start exploring offbeat places. Opt for Rajasthan. Highly recommended.
Hey Snehal! No worries! I just returned last month from Sikkim . You can check out my feed for places to visit and things to do in Sikkim. Also, I am heading to Rajasthan in July and I generally try to cover the entire state. So yea, feel free to join, if you have a partner who rides bikes.
It would best if you first try nearby places...like in the radius of 50-100km of your house...then u can increase it by 200-400...this will make you feel secured...and gradually your confidence... which matters...or else no place in the world will be safe.
all the best