If it happens to be the computer sitting on the desk of a hiring authority and they can't open and read your resume, it could be very harmful to your career goals. Simply put, you have to send a resume that can be opened and read by any computer using any software. But to do that, you may have to change your resume. There is a standard document format that can be read by any receiving computer. The various computer hardware and software manufactures have agreed upon this standard for the sole purpose of facilitating communications between computers.
Text is the lowest common denominator between all computers.
While Text may not have all the bells and whistles of advanced word processing programs, a text document can at least be transmitted to any other computer, be opened and be read. All word processing programs have the capability of saving a document as a text document. But to make a text document work, you need to follow a few simple rules. Firstly, never use anything except a common word processing program to write your resume. Those are almost guaranteed to be unreadable by a person receiving it from you by Email.