Given Information:
- There are 100 people attending the conference.
- Out of these, there are 29 Indian women and 23 Indian men.
- There are 4 doctors among the Indian people.
- 24 people are either men or doctors.
- There are no foreign doctors.

Analysis:
- Let's assume the number of women doctors attending the conference as 'x'.

Calculating the Number of Indian Men and Women:
- The total number of Indian people at the conference is the sum of Indian men and Indian women.
- So, the total number of Indian people = 29 (Indian women) + 23 (Indian men) = 52.

Calculating the Number of Indian Men Who Are Not Doctors:
- We know that 24 people are either men or doctors.
- Since there are 4 doctors among the Indian people, the remaining 20 people must be Indian men who are not doctors.

Calculating the Number of Women Who Are Not Doctors:
- The total number of women at the conference is 29.
- We can subtract the number of women doctors from this to find out the number of women who are not doctors.
- So, the number of women who are not doctors = 29 (total women) - x (women doctors).

Calculating the Total Number of People Who Are Not Doctors:
- The total number of people who are not doctors is the sum of Indian men who are not doctors and women who are not doctors.
- So, the total number of people who are not doctors = 20 (Indian men who are not doctors) + (29 - x) (women who are not doctors) = 49 - x.

Calculating the Total Number of Doctors:
- We know that there are 4 doctors among the Indian people.
- We can add the number of women doctors to this to find out the total number of doctors.
- So, the total number of doctors = 4 (doctors among Indian people) + x (women doctors).

Calculating the Total Number of People:
- The total number of people at the conference is given as 100.
- We can subtract the total number of people who are not doctors from this to find out the total number of doctors.
- So, 100 (total people) - (49 - x) (total people who are not doctors) = 51 + x (total doctors).

Calculating the Value of x:
- We can equate the total number of doctors obtained from the previous step to the total number of doctors obtained in the previous calculation.
- So, 4 (doctors among Indian people) + x (women doctors) = 51 + x (total doctors).

Simplifying the Equation:
- By simplifying the equation, we get x = 47.

Answer:
- The number of women doctors attending the conference is 47.