Tefillah is a Mitzva D’Oraisa that women are also obligated to perform. There are different opinions on exactly how much / how many times a day women must daven. They are not obligated in Tefillah B’Tzibur like men, or in completing all 3 Tefillos every day.
Having said that, the necessity of davening in an Eis Tzarah, and the difficulty in doing so when a person is feeling sad and broken, is a real problem for a lot of people, not just for you personally, mazaltov.
I’ve been following the suggestions people have given here too.
And for those who know of a friend who is sick going through a hard time- this is a reason to daven for others who may have a hard time doing so themselves.