If I want to file for petition to get my mother from the Philippines, will the fact that I am pregnant get in the way of the process or approval?

The fact that you are pregnant will be irrelevant to immigration eligibility issues connected with you sponsoring your mother through consular processing to gain U.S. immigration benefits. Once you give birth, however, that will change your "family size" for purposes of determining the sufficiency of your documentable income in sponsoring your mother. If you were to have inadequate documentable income for your family size to meet the legal requirements, then it may be necessary to have a joint sponsor for your mother's case. Of course, there are many other details that have an impact upon eligibility. It would be wise for you and your mother to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies to attain your goals, and who then could offer legal representation in the often complex application process.