I had the chance to spend my first solo trip in Granny’s Inn and I had the best time ever. The hostel is neat and clean with the shared bathrooms, there’s a kitchen and everything you need. As for the location, its in Sliema, which i think is a safe quarter as a woman. From there, you can take the bus to pretty much everywhere.
Finally, the staff is just the sweetest and wont hesitate to chat with you and make you feel at home!!
If you want a friendly atmosphere and a comfortable stay, I definitely recommend this hostel :)