Masters

Ideally, you are eligible (provided you fulfill their rest of the demands like marks required, entrance %, fees assurance, etc.). But at the time of selection, they will raise some questions on your 3 years of Gap. If you have some valid points to satisfy them then there are some chances to go abroad because objections on your 3-year gap will not only raised by the concerned university (to which you had applied) but also by the investigation officer who issues your visa. So kindly be prepared for those questions. At last, if you satisfy them then definitely no one can stop you to build your career in abroad. Feel free to ask more.
Good luck!