Is it permissible for a traveling woman to combine prayers, and is her ruling the same as that of a male traveler as long as she is not in her original homeland and does not intend permanent residency?

If you intend to stay for a period exceeding four days, the ruling of travel ceases for you, and you are obligated to complete the prayers and fasting, and to perform each prayer at its prescribed time. As for combining two prayers, it is not exclusive to travel; rather, a resident may combine them due to illness, rain, or necessity, provided that this is not taken as a habit.